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