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Simplifying -5x + 8 + -7(x + -1) = -1(4x + -3) + -7x + 7 Reorder the terms: -5x + 8 + -7(-1 + x) = -1(4x + -3) + -7x + 7 -5x + 8 + (-1 * -7 + x * -7) = -1(4x + -3) + -7x + 7 -5x + 8 + (7 + -7x) = -1(4x + -3) + -7x + 7 Reorder the terms: 8 + 7 + -5x + -7x = -1(4x + -3) + -7x + 7 Combine like terms: 8 + 7 = 15 15 + -5x + -7x = -1(4x + -3) + -7x + 7 Combine like terms: -5x + -7x = -12x 15 + -12x = -1(4x + -3) + -7x + 7 Reorder the terms: 15 + -12x = -1(-3 + 4x) + -7x + 7 15 + -12x = (-3 * -1 + 4x * -1) + -7x + 7 15 + -12x = (3 + -4x) + -7x + 7 Reorder the terms: 15 + -12x = 3 + 7 + -4x + -7x Combine like terms: 3 + 7 = 10 15 + -12x = 10 + -4x + -7x Combine like terms: -4x + -7x = -11x 15 + -12x = 10 + -11x Solving 15 + -12x = 10 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 15 + -12x + 11x = 10 + -11x + 11x Combine like terms: -12x + 11x = -1x 15 + -1x = 10 + -11x + 11x Combine like terms: -11x + 11x = 0 15 + -1x = 10 + 0 15 + -1x = 10 Add '-15' to each side of the equation. 15 + -15 + -1x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 10 + -15 -1x = 10 + -15 Combine like terms: 10 + -15 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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