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Simplifying 5x + -4(x + -1) = 2x + -8 Reorder the terms: 5x + -4(-1 + x) = 2x + -8 5x + (-1 * -4 + x * -4) = 2x + -8 5x + (4 + -4x) = 2x + -8 Reorder the terms: 4 + 5x + -4x = 2x + -8 Combine like terms: 5x + -4x = 1x 4 + 1x = 2x + -8 Reorder the terms: 4 + 1x = -8 + 2x Solving 4 + 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. 4 + 1x + -2x = -8 + 2x + -2x Combine like terms: 1x + -2x = -1x 4 + -1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -1x = -8 + 0 4 + -1x = -8 Add '-4' to each side of the equation. 4 + -4 + -1x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -8 + -4 -1x = -8 + -4 Combine like terms: -8 + -4 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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