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Simplifying 2(x + 2) = 4(x + -5) Reorder the terms: 2(2 + x) = 4(x + -5) (2 * 2 + x * 2) = 4(x + -5) (4 + 2x) = 4(x + -5) Reorder the terms: 4 + 2x = 4(-5 + x) 4 + 2x = (-5 * 4 + x * 4) 4 + 2x = (-20 + 4x) Solving 4 + 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. 4 + 2x + -4x = -20 + 4x + -4x Combine like terms: 2x + -4x = -2x 4 + -2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -2x = -20 + 0 4 + -2x = -20 Add '-4' to each side of the equation. 4 + -4 + -2x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -20 + -4 -2x = -20 + -4 Combine like terms: -20 + -4 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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