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Simplifying -1(6x + -2) + -1(5x + -7) + 5 = -6(x + -5) + -1(7x + 4) + 4 Reorder the terms: -1(-2 + 6x) + -1(5x + -7) + 5 = -6(x + -5) + -1(7x + 4) + 4 (-2 * -1 + 6x * -1) + -1(5x + -7) + 5 = -6(x + -5) + -1(7x + 4) + 4 (2 + -6x) + -1(5x + -7) + 5 = -6(x + -5) + -1(7x + 4) + 4 Reorder the terms: 2 + -6x + -1(-7 + 5x) + 5 = -6(x + -5) + -1(7x + 4) + 4 2 + -6x + (-7 * -1 + 5x * -1) + 5 = -6(x + -5) + -1(7x + 4) + 4 2 + -6x + (7 + -5x) + 5 = -6(x + -5) + -1(7x + 4) + 4 Reorder the terms: 2 + 7 + 5 + -6x + -5x = -6(x + -5) + -1(7x + 4) + 4 Combine like terms: 2 + 7 = 9 9 + 5 + -6x + -5x = -6(x + -5) + -1(7x + 4) + 4 Combine like terms: 9 + 5 = 14 14 + -6x + -5x = -6(x + -5) + -1(7x + 4) + 4 Combine like terms: -6x + -5x = -11x 14 + -11x = -6(x + -5) + -1(7x + 4) + 4 Reorder the terms: 14 + -11x = -6(-5 + x) + -1(7x + 4) + 4 14 + -11x = (-5 * -6 + x * -6) + -1(7x + 4) + 4 14 + -11x = (30 + -6x) + -1(7x + 4) + 4 Reorder the terms: 14 + -11x = 30 + -6x + -1(4 + 7x) + 4 14 + -11x = 30 + -6x + (4 * -1 + 7x * -1) + 4 14 + -11x = 30 + -6x + (-4 + -7x) + 4 Reorder the terms: 14 + -11x = 30 + -4 + 4 + -6x + -7x Combine like terms: 30 + -4 = 26 14 + -11x = 26 + 4 + -6x + -7x Combine like terms: 26 + 4 = 30 14 + -11x = 30 + -6x + -7x Combine like terms: -6x + -7x = -13x 14 + -11x = 30 + -13x Solving 14 + -11x = 30 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 14 + -11x + 13x = 30 + -13x + 13x Combine like terms: -11x + 13x = 2x 14 + 2x = 30 + -13x + 13x Combine like terms: -13x + 13x = 0 14 + 2x = 30 + 0 14 + 2x = 30 Add '-14' to each side of the equation. 14 + -14 + 2x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 30 + -14 2x = 30 + -14 Combine like terms: 30 + -14 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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