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Simplifying 2(x + -9) = -5(x + -2) Reorder the terms: 2(-9 + x) = -5(x + -2) (-9 * 2 + x * 2) = -5(x + -2) (-18 + 2x) = -5(x + -2) Reorder the terms: -18 + 2x = -5(-2 + x) -18 + 2x = (-2 * -5 + x * -5) -18 + 2x = (10 + -5x) Solving -18 + 2x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -18 + 2x + 5x = 10 + -5x + 5x Combine like terms: 2x + 5x = 7x -18 + 7x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 7x = 10 + 0 -18 + 7x = 10 Add '18' to each side of the equation. -18 + 18 + 7x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 10 + 18 7x = 10 + 18 Combine like terms: 10 + 18 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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