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Simplifying 4(3x + -1) + -1(4x + 5) = 2(5 + -3x) + -6(3x + -8) Reorder the terms: 4(-1 + 3x) + -1(4x + 5) = 2(5 + -3x) + -6(3x + -8) (-1 * 4 + 3x * 4) + -1(4x + 5) = 2(5 + -3x) + -6(3x + -8) (-4 + 12x) + -1(4x + 5) = 2(5 + -3x) + -6(3x + -8) Reorder the terms: -4 + 12x + -1(5 + 4x) = 2(5 + -3x) + -6(3x + -8) -4 + 12x + (5 * -1 + 4x * -1) = 2(5 + -3x) + -6(3x + -8) -4 + 12x + (-5 + -4x) = 2(5 + -3x) + -6(3x + -8) Reorder the terms: -4 + -5 + 12x + -4x = 2(5 + -3x) + -6(3x + -8) Combine like terms: -4 + -5 = -9 -9 + 12x + -4x = 2(5 + -3x) + -6(3x + -8) Combine like terms: 12x + -4x = 8x -9 + 8x = 2(5 + -3x) + -6(3x + -8) -9 + 8x = (5 * 2 + -3x * 2) + -6(3x + -8) -9 + 8x = (10 + -6x) + -6(3x + -8) Reorder the terms: -9 + 8x = 10 + -6x + -6(-8 + 3x) -9 + 8x = 10 + -6x + (-8 * -6 + 3x * -6) -9 + 8x = 10 + -6x + (48 + -18x) Reorder the terms: -9 + 8x = 10 + 48 + -6x + -18x Combine like terms: 10 + 48 = 58 -9 + 8x = 58 + -6x + -18x Combine like terms: -6x + -18x = -24x -9 + 8x = 58 + -24x Solving -9 + 8x = 58 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -9 + 8x + 24x = 58 + -24x + 24x Combine like terms: 8x + 24x = 32x -9 + 32x = 58 + -24x + 24x Combine like terms: -24x + 24x = 0 -9 + 32x = 58 + 0 -9 + 32x = 58 Add '9' to each side of the equation. -9 + 9 + 32x = 58 + 9 Combine like terms: -9 + 9 = 0 0 + 32x = 58 + 9 32x = 58 + 9 Combine like terms: 58 + 9 = 67 32x = 67 Divide each side by '32'. x = 2.09375 Simplifying x = 2.09375
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