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Simplifying 4(x + 1) = -2(x + -5) Reorder the terms: 4(1 + x) = -2(x + -5) (1 * 4 + x * 4) = -2(x + -5) (4 + 4x) = -2(x + -5) Reorder the terms: 4 + 4x = -2(-5 + x) 4 + 4x = (-5 * -2 + x * -2) 4 + 4x = (10 + -2x) Solving 4 + 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. 4 + 4x + 2x = 10 + -2x + 2x Combine like terms: 4x + 2x = 6x 4 + 6x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 6x = 10 + 0 4 + 6x = 10 Add '-4' to each side of the equation. 4 + -4 + 6x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 10 + -4 6x = 10 + -4 Combine like terms: 10 + -4 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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