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Simplifying 10 + -5x = -2(x + -9) Reorder the terms: 10 + -5x = -2(-9 + x) 10 + -5x = (-9 * -2 + x * -2) 10 + -5x = (18 + -2x) Solving 10 + -5x = 18 + -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. 10 + -5x + 2x = 18 + -2x + 2x Combine like terms: -5x + 2x = -3x 10 + -3x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -3x = 18 + 0 10 + -3x = 18 Add '-10' to each side of the equation. 10 + -10 + -3x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 18 + -10 -3x = 18 + -10 Combine like terms: 18 + -10 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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