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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 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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