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Simplifying 2(x + -5) = -2(x + -9) Reorder the terms: 2(-5 + x) = -2(x + -9) (-5 * 2 + x * 2) = -2(x + -9) (-10 + 2x) = -2(x + -9) Reorder the terms: -10 + 2x = -2(-9 + x) -10 + 2x = (-9 * -2 + x * -2) -10 + 2x = (18 + -2x) Solving -10 + 2x = 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 + 2x + 2x = 18 + -2x + 2x Combine like terms: 2x + 2x = 4x -10 + 4x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 4x = 18 + 0 -10 + 4x = 18 Add '10' to each side of the equation. -10 + 10 + 4x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 18 + 10 4x = 18 + 10 Combine like terms: 18 + 10 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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