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Simplifying 5x + -2(x + -1) = -4 + 5x + 8 Reorder the terms: 5x + -2(-1 + x) = -4 + 5x + 8 5x + (-1 * -2 + x * -2) = -4 + 5x + 8 5x + (2 + -2x) = -4 + 5x + 8 Reorder the terms: 2 + 5x + -2x = -4 + 5x + 8 Combine like terms: 5x + -2x = 3x 2 + 3x = -4 + 5x + 8 Reorder the terms: 2 + 3x = -4 + 8 + 5x Combine like terms: -4 + 8 = 4 2 + 3x = 4 + 5x Solving 2 + 3x = 4 + 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. 2 + 3x + -5x = 4 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = 4 + 0 2 + -2x = 4 Add '-2' to each side of the equation. 2 + -2 + -2x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 4 + -2 -2x = 4 + -2 Combine like terms: 4 + -2 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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