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Simplifying -1(6x + -5) + -1(7x + -6) + 6 = -4(x + -1) + -1(14x + 5) + 3 Reorder the terms: -1(-5 + 6x) + -1(7x + -6) + 6 = -4(x + -1) + -1(14x + 5) + 3 (-5 * -1 + 6x * -1) + -1(7x + -6) + 6 = -4(x + -1) + -1(14x + 5) + 3 (5 + -6x) + -1(7x + -6) + 6 = -4(x + -1) + -1(14x + 5) + 3 Reorder the terms: 5 + -6x + -1(-6 + 7x) + 6 = -4(x + -1) + -1(14x + 5) + 3 5 + -6x + (-6 * -1 + 7x * -1) + 6 = -4(x + -1) + -1(14x + 5) + 3 5 + -6x + (6 + -7x) + 6 = -4(x + -1) + -1(14x + 5) + 3 Reorder the terms: 5 + 6 + 6 + -6x + -7x = -4(x + -1) + -1(14x + 5) + 3 Combine like terms: 5 + 6 = 11 11 + 6 + -6x + -7x = -4(x + -1) + -1(14x + 5) + 3 Combine like terms: 11 + 6 = 17 17 + -6x + -7x = -4(x + -1) + -1(14x + 5) + 3 Combine like terms: -6x + -7x = -13x 17 + -13x = -4(x + -1) + -1(14x + 5) + 3 Reorder the terms: 17 + -13x = -4(-1 + x) + -1(14x + 5) + 3 17 + -13x = (-1 * -4 + x * -4) + -1(14x + 5) + 3 17 + -13x = (4 + -4x) + -1(14x + 5) + 3 Reorder the terms: 17 + -13x = 4 + -4x + -1(5 + 14x) + 3 17 + -13x = 4 + -4x + (5 * -1 + 14x * -1) + 3 17 + -13x = 4 + -4x + (-5 + -14x) + 3 Reorder the terms: 17 + -13x = 4 + -5 + 3 + -4x + -14x Combine like terms: 4 + -5 = -1 17 + -13x = -1 + 3 + -4x + -14x Combine like terms: -1 + 3 = 2 17 + -13x = 2 + -4x + -14x Combine like terms: -4x + -14x = -18x 17 + -13x = 2 + -18x Solving 17 + -13x = 2 + -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. 17 + -13x + 18x = 2 + -18x + 18x Combine like terms: -13x + 18x = 5x 17 + 5x = 2 + -18x + 18x Combine like terms: -18x + 18x = 0 17 + 5x = 2 + 0 17 + 5x = 2 Add '-17' to each side of the equation. 17 + -17 + 5x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 2 + -17 5x = 2 + -17 Combine like terms: 2 + -17 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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