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Simplifying 2(x + -9) = 4(x + -5) Reorder the terms: 2(-9 + x) = 4(x + -5) (-9 * 2 + x * 2) = 4(x + -5) (-18 + 2x) = 4(x + -5) Reorder the terms: -18 + 2x = 4(-5 + x) -18 + 2x = (-5 * 4 + x * 4) -18 + 2x = (-20 + 4x) Solving -18 + 2x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 2x + -4x = -20 + 4x + -4x Combine like terms: 2x + -4x = -2x -18 + -2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -2x = -20 + 0 -18 + -2x = -20 Add '18' to each side of the equation. -18 + 18 + -2x = -20 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = -20 + 18 -2x = -20 + 18 Combine like terms: -20 + 18 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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