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Simplifying 5 + -1(x + 5) = -2(x + -4) Reorder the terms: 5 + -1(5 + x) = -2(x + -4) 5 + (5 * -1 + x * -1) = -2(x + -4) 5 + (-5 + -1x) = -2(x + -4) Combine like terms: 5 + -5 = 0 0 + -1x = -2(x + -4) -1x = -2(x + -4) Reorder the terms: -1x = -2(-4 + x) -1x = (-4 * -2 + x * -2) -1x = (8 + -2x) Solving -1x = 8 + -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. -1x + 2x = 8 + -2x + 2x Combine like terms: -1x + 2x = 1x 1x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 1x = 8 + 0 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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