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Simplifying 2(3x + -1) + -3(-1x + -2) + 5x = 3(2x + 8) + -3(3x + -4) Reorder the terms: 2(-1 + 3x) + -3(-1x + -2) + 5x = 3(2x + 8) + -3(3x + -4) (-1 * 2 + 3x * 2) + -3(-1x + -2) + 5x = 3(2x + 8) + -3(3x + -4) (-2 + 6x) + -3(-1x + -2) + 5x = 3(2x + 8) + -3(3x + -4) Reorder the terms: -2 + 6x + -3(-2 + -1x) + 5x = 3(2x + 8) + -3(3x + -4) -2 + 6x + (-2 * -3 + -1x * -3) + 5x = 3(2x + 8) + -3(3x + -4) -2 + 6x + (6 + 3x) + 5x = 3(2x + 8) + -3(3x + -4) Reorder the terms: -2 + 6 + 6x + 3x + 5x = 3(2x + 8) + -3(3x + -4) Combine like terms: -2 + 6 = 4 4 + 6x + 3x + 5x = 3(2x + 8) + -3(3x + -4) Combine like terms: 6x + 3x = 9x 4 + 9x + 5x = 3(2x + 8) + -3(3x + -4) Combine like terms: 9x + 5x = 14x 4 + 14x = 3(2x + 8) + -3(3x + -4) Reorder the terms: 4 + 14x = 3(8 + 2x) + -3(3x + -4) 4 + 14x = (8 * 3 + 2x * 3) + -3(3x + -4) 4 + 14x = (24 + 6x) + -3(3x + -4) Reorder the terms: 4 + 14x = 24 + 6x + -3(-4 + 3x) 4 + 14x = 24 + 6x + (-4 * -3 + 3x * -3) 4 + 14x = 24 + 6x + (12 + -9x) Reorder the terms: 4 + 14x = 24 + 12 + 6x + -9x Combine like terms: 24 + 12 = 36 4 + 14x = 36 + 6x + -9x Combine like terms: 6x + -9x = -3x 4 + 14x = 36 + -3x Solving 4 + 14x = 36 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 14x + 3x = 36 + -3x + 3x Combine like terms: 14x + 3x = 17x 4 + 17x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 17x = 36 + 0 4 + 17x = 36 Add '-4' to each side of the equation. 4 + -4 + 17x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 36 + -4 17x = 36 + -4 Combine like terms: 36 + -4 = 32 17x = 32 Divide each side by '17'. x = 1.882352941 Simplifying x = 1.882352941
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