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Simplifying -1(8x + -6) + -1(5x + -5) + 7 = -7(x + -6) + -1(8x + 8) + 4 Reorder the terms: -1(-6 + 8x) + -1(5x + -5) + 7 = -7(x + -6) + -1(8x + 8) + 4 (-6 * -1 + 8x * -1) + -1(5x + -5) + 7 = -7(x + -6) + -1(8x + 8) + 4 (6 + -8x) + -1(5x + -5) + 7 = -7(x + -6) + -1(8x + 8) + 4 Reorder the terms: 6 + -8x + -1(-5 + 5x) + 7 = -7(x + -6) + -1(8x + 8) + 4 6 + -8x + (-5 * -1 + 5x * -1) + 7 = -7(x + -6) + -1(8x + 8) + 4 6 + -8x + (5 + -5x) + 7 = -7(x + -6) + -1(8x + 8) + 4 Reorder the terms: 6 + 5 + 7 + -8x + -5x = -7(x + -6) + -1(8x + 8) + 4 Combine like terms: 6 + 5 = 11 11 + 7 + -8x + -5x = -7(x + -6) + -1(8x + 8) + 4 Combine like terms: 11 + 7 = 18 18 + -8x + -5x = -7(x + -6) + -1(8x + 8) + 4 Combine like terms: -8x + -5x = -13x 18 + -13x = -7(x + -6) + -1(8x + 8) + 4 Reorder the terms: 18 + -13x = -7(-6 + x) + -1(8x + 8) + 4 18 + -13x = (-6 * -7 + x * -7) + -1(8x + 8) + 4 18 + -13x = (42 + -7x) + -1(8x + 8) + 4 Reorder the terms: 18 + -13x = 42 + -7x + -1(8 + 8x) + 4 18 + -13x = 42 + -7x + (8 * -1 + 8x * -1) + 4 18 + -13x = 42 + -7x + (-8 + -8x) + 4 Reorder the terms: 18 + -13x = 42 + -8 + 4 + -7x + -8x Combine like terms: 42 + -8 = 34 18 + -13x = 34 + 4 + -7x + -8x Combine like terms: 34 + 4 = 38 18 + -13x = 38 + -7x + -8x Combine like terms: -7x + -8x = -15x 18 + -13x = 38 + -15x Solving 18 + -13x = 38 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 18 + -13x + 15x = 38 + -15x + 15x Combine like terms: -13x + 15x = 2x 18 + 2x = 38 + -15x + 15x Combine like terms: -15x + 15x = 0 18 + 2x = 38 + 0 18 + 2x = 38 Add '-18' to each side of the equation. 18 + -18 + 2x = 38 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 38 + -18 2x = 38 + -18 Combine like terms: 38 + -18 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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