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Simplifying -4(x + 5) = 2(x + 2) Reorder the terms: -4(5 + x) = 2(x + 2) (5 * -4 + x * -4) = 2(x + 2) (-20 + -4x) = 2(x + 2) Reorder the terms: -20 + -4x = 2(2 + x) -20 + -4x = (2 * 2 + x * 2) -20 + -4x = (4 + 2x) Solving -20 + -4x = 4 + 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. -20 + -4x + -2x = 4 + 2x + -2x Combine like terms: -4x + -2x = -6x -20 + -6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -6x = 4 + 0 -20 + -6x = 4 Add '20' to each side of the equation. -20 + 20 + -6x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = 4 + 20 -6x = 4 + 20 Combine like terms: 4 + 20 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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