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Simplifying -4(x + 5) = 2(x + 5) Reorder the terms: -4(5 + x) = 2(x + 5) (5 * -4 + x * -4) = 2(x + 5) (-20 + -4x) = 2(x + 5) Reorder the terms: -20 + -4x = 2(5 + x) -20 + -4x = (5 * 2 + x * 2) -20 + -4x = (10 + 2x) Solving -20 + -4x = 10 + 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 = 10 + 2x + -2x Combine like terms: -4x + -2x = -6x -20 + -6x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -6x = 10 + 0 -20 + -6x = 10 Add '20' to each side of the equation. -20 + 20 + -6x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = 10 + 20 -6x = 10 + 20 Combine like terms: 10 + 20 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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