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Simplifying -6x + 7 + -7(x + -1) = -1(5x + -4) + -7x + 7 Reorder the terms: -6x + 7 + -7(-1 + x) = -1(5x + -4) + -7x + 7 -6x + 7 + (-1 * -7 + x * -7) = -1(5x + -4) + -7x + 7 -6x + 7 + (7 + -7x) = -1(5x + -4) + -7x + 7 Reorder the terms: 7 + 7 + -6x + -7x = -1(5x + -4) + -7x + 7 Combine like terms: 7 + 7 = 14 14 + -6x + -7x = -1(5x + -4) + -7x + 7 Combine like terms: -6x + -7x = -13x 14 + -13x = -1(5x + -4) + -7x + 7 Reorder the terms: 14 + -13x = -1(-4 + 5x) + -7x + 7 14 + -13x = (-4 * -1 + 5x * -1) + -7x + 7 14 + -13x = (4 + -5x) + -7x + 7 Reorder the terms: 14 + -13x = 4 + 7 + -5x + -7x Combine like terms: 4 + 7 = 11 14 + -13x = 11 + -5x + -7x Combine like terms: -5x + -7x = -12x 14 + -13x = 11 + -12x Solving 14 + -13x = 11 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 14 + -13x + 12x = 11 + -12x + 12x Combine like terms: -13x + 12x = -1x 14 + -1x = 11 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + -1x = 11 + 0 14 + -1x = 11 Add '-14' to each side of the equation. 14 + -14 + -1x = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 11 + -14 -1x = 11 + -14 Combine like terms: 11 + -14 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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