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Simplifying -1(3x + -7) + -1(2x + -7) + 6 = -5(x + -8) + -1(2x + 7) + 6 Reorder the terms: -1(-7 + 3x) + -1(2x + -7) + 6 = -5(x + -8) + -1(2x + 7) + 6 (-7 * -1 + 3x * -1) + -1(2x + -7) + 6 = -5(x + -8) + -1(2x + 7) + 6 (7 + -3x) + -1(2x + -7) + 6 = -5(x + -8) + -1(2x + 7) + 6 Reorder the terms: 7 + -3x + -1(-7 + 2x) + 6 = -5(x + -8) + -1(2x + 7) + 6 7 + -3x + (-7 * -1 + 2x * -1) + 6 = -5(x + -8) + -1(2x + 7) + 6 7 + -3x + (7 + -2x) + 6 = -5(x + -8) + -1(2x + 7) + 6 Reorder the terms: 7 + 7 + 6 + -3x + -2x = -5(x + -8) + -1(2x + 7) + 6 Combine like terms: 7 + 7 = 14 14 + 6 + -3x + -2x = -5(x + -8) + -1(2x + 7) + 6 Combine like terms: 14 + 6 = 20 20 + -3x + -2x = -5(x + -8) + -1(2x + 7) + 6 Combine like terms: -3x + -2x = -5x 20 + -5x = -5(x + -8) + -1(2x + 7) + 6 Reorder the terms: 20 + -5x = -5(-8 + x) + -1(2x + 7) + 6 20 + -5x = (-8 * -5 + x * -5) + -1(2x + 7) + 6 20 + -5x = (40 + -5x) + -1(2x + 7) + 6 Reorder the terms: 20 + -5x = 40 + -5x + -1(7 + 2x) + 6 20 + -5x = 40 + -5x + (7 * -1 + 2x * -1) + 6 20 + -5x = 40 + -5x + (-7 + -2x) + 6 Reorder the terms: 20 + -5x = 40 + -7 + 6 + -5x + -2x Combine like terms: 40 + -7 = 33 20 + -5x = 33 + 6 + -5x + -2x Combine like terms: 33 + 6 = 39 20 + -5x = 39 + -5x + -2x Combine like terms: -5x + -2x = -7x 20 + -5x = 39 + -7x Solving 20 + -5x = 39 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + -5x + 7x = 39 + -7x + 7x Combine like terms: -5x + 7x = 2x 20 + 2x = 39 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 2x = 39 + 0 20 + 2x = 39 Add '-20' to each side of the equation. 20 + -20 + 2x = 39 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 39 + -20 2x = 39 + -20 Combine like terms: 39 + -20 = 19 2x = 19 Divide each side by '2'. x = 9.5 Simplifying x = 9.5
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