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Simplifying 3 + -1(x + 5) = 2(2x + 4) Reorder the terms: 3 + -1(5 + x) = 2(2x + 4) 3 + (5 * -1 + x * -1) = 2(2x + 4) 3 + (-5 + -1x) = 2(2x + 4) Combine like terms: 3 + -5 = -2 -2 + -1x = 2(2x + 4) Reorder the terms: -2 + -1x = 2(4 + 2x) -2 + -1x = (4 * 2 + 2x * 2) -2 + -1x = (8 + 4x) Solving -2 + -1x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -1x + -4x = 8 + 4x + -4x Combine like terms: -1x + -4x = -5x -2 + -5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -5x = 8 + 0 -2 + -5x = 8 Add '2' to each side of the equation. -2 + 2 + -5x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 8 + 2 -5x = 8 + 2 Combine like terms: 8 + 2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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