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Simplifying -4x + 5 + -7(x + -1) = -1(3x + -4) + -7x + 7 Reorder the terms: -4x + 5 + -7(-1 + x) = -1(3x + -4) + -7x + 7 -4x + 5 + (-1 * -7 + x * -7) = -1(3x + -4) + -7x + 7 -4x + 5 + (7 + -7x) = -1(3x + -4) + -7x + 7 Reorder the terms: 5 + 7 + -4x + -7x = -1(3x + -4) + -7x + 7 Combine like terms: 5 + 7 = 12 12 + -4x + -7x = -1(3x + -4) + -7x + 7 Combine like terms: -4x + -7x = -11x 12 + -11x = -1(3x + -4) + -7x + 7 Reorder the terms: 12 + -11x = -1(-4 + 3x) + -7x + 7 12 + -11x = (-4 * -1 + 3x * -1) + -7x + 7 12 + -11x = (4 + -3x) + -7x + 7 Reorder the terms: 12 + -11x = 4 + 7 + -3x + -7x Combine like terms: 4 + 7 = 11 12 + -11x = 11 + -3x + -7x Combine like terms: -3x + -7x = -10x 12 + -11x = 11 + -10x Solving 12 + -11x = 11 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12 + -11x + 10x = 11 + -10x + 10x Combine like terms: -11x + 10x = -1x 12 + -1x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + -1x = 11 + 0 12 + -1x = 11 Add '-12' to each side of the equation. 12 + -12 + -1x = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 11 + -12 -1x = 11 + -12 Combine like terms: 11 + -12 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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