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Simplifying -1(7x + -5) + -1(7x + -5) + 5 = -13(x + -1) + -1(5x + 13) + 3 Reorder the terms: -1(-5 + 7x) + -1(7x + -5) + 5 = -13(x + -1) + -1(5x + 13) + 3 (-5 * -1 + 7x * -1) + -1(7x + -5) + 5 = -13(x + -1) + -1(5x + 13) + 3 (5 + -7x) + -1(7x + -5) + 5 = -13(x + -1) + -1(5x + 13) + 3 Reorder the terms: 5 + -7x + -1(-5 + 7x) + 5 = -13(x + -1) + -1(5x + 13) + 3 5 + -7x + (-5 * -1 + 7x * -1) + 5 = -13(x + -1) + -1(5x + 13) + 3 5 + -7x + (5 + -7x) + 5 = -13(x + -1) + -1(5x + 13) + 3 Reorder the terms: 5 + 5 + 5 + -7x + -7x = -13(x + -1) + -1(5x + 13) + 3 Combine like terms: 5 + 5 = 10 10 + 5 + -7x + -7x = -13(x + -1) + -1(5x + 13) + 3 Combine like terms: 10 + 5 = 15 15 + -7x + -7x = -13(x + -1) + -1(5x + 13) + 3 Combine like terms: -7x + -7x = -14x 15 + -14x = -13(x + -1) + -1(5x + 13) + 3 Reorder the terms: 15 + -14x = -13(-1 + x) + -1(5x + 13) + 3 15 + -14x = (-1 * -13 + x * -13) + -1(5x + 13) + 3 15 + -14x = (13 + -13x) + -1(5x + 13) + 3 Reorder the terms: 15 + -14x = 13 + -13x + -1(13 + 5x) + 3 15 + -14x = 13 + -13x + (13 * -1 + 5x * -1) + 3 15 + -14x = 13 + -13x + (-13 + -5x) + 3 Reorder the terms: 15 + -14x = 13 + -13 + 3 + -13x + -5x Combine like terms: 13 + -13 = 0 15 + -14x = 0 + 3 + -13x + -5x 15 + -14x = 3 + -13x + -5x Combine like terms: -13x + -5x = -18x 15 + -14x = 3 + -18x Solving 15 + -14x = 3 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 15 + -14x + 18x = 3 + -18x + 18x Combine like terms: -14x + 18x = 4x 15 + 4x = 3 + -18x + 18x Combine like terms: -18x + 18x = 0 15 + 4x = 3 + 0 15 + 4x = 3 Add '-15' to each side of the equation. 15 + -15 + 4x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 3 + -15 4x = 3 + -15 Combine like terms: 3 + -15 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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