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Simplifying -2x + -9(x + 2) = -5(2x + 2) Reorder the terms: -2x + -9(2 + x) = -5(2x + 2) -2x + (2 * -9 + x * -9) = -5(2x + 2) -2x + (-18 + -9x) = -5(2x + 2) Reorder the terms: -18 + -2x + -9x = -5(2x + 2) Combine like terms: -2x + -9x = -11x -18 + -11x = -5(2x + 2) Reorder the terms: -18 + -11x = -5(2 + 2x) -18 + -11x = (2 * -5 + 2x * -5) -18 + -11x = (-10 + -10x) Solving -18 + -11x = -10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -18 + -11x + 10x = -10 + -10x + 10x Combine like terms: -11x + 10x = -1x -18 + -1x = -10 + -10x + 10x Combine like terms: -10x + 10x = 0 -18 + -1x = -10 + 0 -18 + -1x = -10 Add '18' to each side of the equation. -18 + 18 + -1x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -10 + 18 -1x = -10 + 18 Combine like terms: -10 + 18 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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