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Simplifying 3(-2x + -2) = 5(8x + 9) Reorder the terms: 3(-2 + -2x) = 5(8x + 9) (-2 * 3 + -2x * 3) = 5(8x + 9) (-6 + -6x) = 5(8x + 9) Reorder the terms: -6 + -6x = 5(9 + 8x) -6 + -6x = (9 * 5 + 8x * 5) -6 + -6x = (45 + 40x) Solving -6 + -6x = 45 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -6 + -6x + -40x = 45 + 40x + -40x Combine like terms: -6x + -40x = -46x -6 + -46x = 45 + 40x + -40x Combine like terms: 40x + -40x = 0 -6 + -46x = 45 + 0 -6 + -46x = 45 Add '6' to each side of the equation. -6 + 6 + -46x = 45 + 6 Combine like terms: -6 + 6 = 0 0 + -46x = 45 + 6 -46x = 45 + 6 Combine like terms: 45 + 6 = 51 -46x = 51 Divide each side by '-46'. x = -1.108695652 Simplifying x = -1.108695652
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