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Simplifying 4x + 2(2x + 2) = 5(x + -1) Reorder the terms: 4x + 2(2 + 2x) = 5(x + -1) 4x + (2 * 2 + 2x * 2) = 5(x + -1) 4x + (4 + 4x) = 5(x + -1) Reorder the terms: 4 + 4x + 4x = 5(x + -1) Combine like terms: 4x + 4x = 8x 4 + 8x = 5(x + -1) Reorder the terms: 4 + 8x = 5(-1 + x) 4 + 8x = (-1 * 5 + x * 5) 4 + 8x = (-5 + 5x) Solving 4 + 8x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 8x + -5x = -5 + 5x + -5x Combine like terms: 8x + -5x = 3x 4 + 3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 3x = -5 + 0 4 + 3x = -5 Add '-4' to each side of the equation. 4 + -4 + 3x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -5 + -4 3x = -5 + -4 Combine like terms: -5 + -4 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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