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Simplifying -4(x + -1) = 2x + 5 + -4x + 7 Reorder the terms: -4(-1 + x) = 2x + 5 + -4x + 7 (-1 * -4 + x * -4) = 2x + 5 + -4x + 7 (4 + -4x) = 2x + 5 + -4x + 7 Reorder the terms: 4 + -4x = 5 + 7 + 2x + -4x Combine like terms: 5 + 7 = 12 4 + -4x = 12 + 2x + -4x Combine like terms: 2x + -4x = -2x 4 + -4x = 12 + -2x Solving 4 + -4x = 12 + -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 + -4x + 2x = 12 + -2x + 2x Combine like terms: -4x + 2x = -2x 4 + -2x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -2x = 12 + 0 4 + -2x = 12 Add '-4' to each side of the equation. 4 + -4 + -2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 12 + -4 -2x = 12 + -4 Combine like terms: 12 + -4 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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