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Simplifying -4x + 6 + -7(x + -1) = -1(3x + -5) + -7x + 7 Reorder the terms: -4x + 6 + -7(-1 + x) = -1(3x + -5) + -7x + 7 -4x + 6 + (-1 * -7 + x * -7) = -1(3x + -5) + -7x + 7 -4x + 6 + (7 + -7x) = -1(3x + -5) + -7x + 7 Reorder the terms: 6 + 7 + -4x + -7x = -1(3x + -5) + -7x + 7 Combine like terms: 6 + 7 = 13 13 + -4x + -7x = -1(3x + -5) + -7x + 7 Combine like terms: -4x + -7x = -11x 13 + -11x = -1(3x + -5) + -7x + 7 Reorder the terms: 13 + -11x = -1(-5 + 3x) + -7x + 7 13 + -11x = (-5 * -1 + 3x * -1) + -7x + 7 13 + -11x = (5 + -3x) + -7x + 7 Reorder the terms: 13 + -11x = 5 + 7 + -3x + -7x Combine like terms: 5 + 7 = 12 13 + -11x = 12 + -3x + -7x Combine like terms: -3x + -7x = -10x 13 + -11x = 12 + -10x Solving 13 + -11x = 12 + -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. 13 + -11x + 10x = 12 + -10x + 10x Combine like terms: -11x + 10x = -1x 13 + -1x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 13 + -1x = 12 + 0 13 + -1x = 12 Add '-13' to each side of the equation. 13 + -13 + -1x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 12 + -13 -1x = 12 + -13 Combine like terms: 12 + -13 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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