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Simplifying 8x(x + -5)(x + -2) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) Reorder the terms: 8x(-5 + x)(x + -2) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) Reorder the terms: 8x(-5 + x)(-2 + x) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) Multiply (-5 + x) * (-2 + x) 8x(-5(-2 + x) + x(-2 + x)) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) 8x((-2 * -5 + x * -5) + x(-2 + x)) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) 8x((10 + -5x) + x(-2 + x)) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) 8x(10 + -5x + (-2 * x + x * x)) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) 8x(10 + -5x + (-2x + x2)) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) Combine like terms: -5x + -2x = -7x 8x(10 + -7x + x2) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) (10 * 8x + -7x * 8x + x2 * 8x) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) (80x + -56x2 + 8x3) + -1(2x + 6)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) Reorder the terms: 80x + -56x2 + 8x3 + -1(6 + 2x)((4x * x) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) Multiply x * x 80x + -56x2 + 8x3 + -1(6 + 2x)((4x2) + -12x + 36) + 14((4x * x) + -1) = 3x + 4(5x + 12) Reorder the terms: 80x + -56x2 + 8x3 + -1(6 + 2x)(36 + -12x + (4x2)) + 14((4x * x) + -1) = 3x + 4(5x + 12) Multiply (6 + 2x) * (36 + -12x + (4x2)) 80x + -56x2 + 8x3 + -1(6(36 + -12x + (4x2)) + 2x * (36 + -12x + (4x2))) + 14((4x * x) + -1) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + -1((36 * 6 + -12x * 6 + (4x2) * 6) + 2x * (36 + -12x + (4x2))) + 14((4x * x) + -1) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + -1((216 + -72x + 24x2) + 2x * (36 + -12x + (4x2))) + 14((4x * x) + -1) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + -1(216 + -72x + 24x2 + (36 * 2x + -12x * 2x + (4x2) * 2x)) + 14((4x * x) + -1) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + -1(216 + -72x + 24x2 + (72x + -24x2 + 8x3)) + 14((4x * x) + -1) = 3x + 4(5x + 12) Reorder the terms: 80x + -56x2 + 8x3 + -1(216 + -72x + 72x + 24x2 + -24x2 + 8x3) + 14((4x * x) + -1) = 3x + 4(5x + 12) Combine like terms: -72x + 72x = 0 80x + -56x2 + 8x3 + -1(216 + 0 + 24x2 + -24x2 + 8x3) + 14((4x * x) + -1) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + -1(216 + 24x2 + -24x2 + 8x3) + 14((4x * x) + -1) = 3x + 4(5x + 12) Combine like terms: 24x2 + -24x2 = 0 80x + -56x2 + 8x3 + -1(216 + 0 + 8x3) + 14((4x * x) + -1) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + -1(216 + 8x3) + 14((4x * x) + -1) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + (216 * -1 + 8x3 * -1) + 14((4x * x) + -1) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + (-216 + -8x3) + 14((4x * x) + -1) = 3x + 4(5x + 12) Multiply x * x 80x + -56x2 + 8x3 + -216 + -8x3 + 14((4x2) + -1) = 3x + 4(5x + 12) Reorder the terms: 80x + -56x2 + 8x3 + -216 + -8x3 + 14(-1 + (4x2)) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + -216 + -8x3 + (-1 * 14 + (4x2) * 14) = 3x + 4(5x + 12) 80x + -56x2 + 8x3 + -216 + -8x3 + (-14 + 56x2) = 3x + 4(5x + 12) Reorder the terms: -216 + -14 + 80x + -56x2 + 56x2 + 8x3 + -8x3 = 3x + 4(5x + 12) Combine like terms: -216 + -14 = -230 -230 + 80x + -56x2 + 56x2 + 8x3 + -8x3 = 3x + 4(5x + 12) Combine like terms: -56x2 + 56x2 = 0 -230 + 80x + 0 + 8x3 + -8x3 = 3x + 4(5x + 12) -230 + 80x + 8x3 + -8x3 = 3x + 4(5x + 12) Combine like terms: 8x3 + -8x3 = 0 -230 + 80x + 0 = 3x + 4(5x + 12) -230 + 80x = 3x + 4(5x + 12) Reorder the terms: -230 + 80x = 3x + 4(12 + 5x) -230 + 80x = 3x + (12 * 4 + 5x * 4) -230 + 80x = 3x + (48 + 20x) Reorder the terms: -230 + 80x = 48 + 3x + 20x Combine like terms: 3x + 20x = 23x -230 + 80x = 48 + 23x Solving -230 + 80x = 48 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -230 + 80x + -23x = 48 + 23x + -23x Combine like terms: 80x + -23x = 57x -230 + 57x = 48 + 23x + -23x Combine like terms: 23x + -23x = 0 -230 + 57x = 48 + 0 -230 + 57x = 48 Add '230' to each side of the equation. -230 + 230 + 57x = 48 + 230 Combine like terms: -230 + 230 = 0 0 + 57x = 48 + 230 57x = 48 + 230 Combine like terms: 48 + 230 = 278 57x = 278 Divide each side by '57'. x = 4.877192982 Simplifying x = 4.877192982
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