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Simplifying -3(-4x + 9) + -2x = 2(x + -8) + -1 Reorder the terms: -3(9 + -4x) + -2x = 2(x + -8) + -1 (9 * -3 + -4x * -3) + -2x = 2(x + -8) + -1 (-27 + 12x) + -2x = 2(x + -8) + -1 Combine like terms: 12x + -2x = 10x -27 + 10x = 2(x + -8) + -1 Reorder the terms: -27 + 10x = 2(-8 + x) + -1 -27 + 10x = (-8 * 2 + x * 2) + -1 -27 + 10x = (-16 + 2x) + -1 Reorder the terms: -27 + 10x = -16 + -1 + 2x Combine like terms: -16 + -1 = -17 -27 + 10x = -17 + 2x Solving -27 + 10x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + 10x + -2x = -17 + 2x + -2x Combine like terms: 10x + -2x = 8x -27 + 8x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 8x = -17 + 0 -27 + 8x = -17 Add '27' to each side of the equation. -27 + 27 + 8x = -17 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = -17 + 27 8x = -17 + 27 Combine like terms: -17 + 27 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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