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Simplifying -1(3x + -7) + -1(2x + -8) + 3 = -5(x + -7) + -1(8x + 7) + 7 Reorder the terms: -1(-7 + 3x) + -1(2x + -8) + 3 = -5(x + -7) + -1(8x + 7) + 7 (-7 * -1 + 3x * -1) + -1(2x + -8) + 3 = -5(x + -7) + -1(8x + 7) + 7 (7 + -3x) + -1(2x + -8) + 3 = -5(x + -7) + -1(8x + 7) + 7 Reorder the terms: 7 + -3x + -1(-8 + 2x) + 3 = -5(x + -7) + -1(8x + 7) + 7 7 + -3x + (-8 * -1 + 2x * -1) + 3 = -5(x + -7) + -1(8x + 7) + 7 7 + -3x + (8 + -2x) + 3 = -5(x + -7) + -1(8x + 7) + 7 Reorder the terms: 7 + 8 + 3 + -3x + -2x = -5(x + -7) + -1(8x + 7) + 7 Combine like terms: 7 + 8 = 15 15 + 3 + -3x + -2x = -5(x + -7) + -1(8x + 7) + 7 Combine like terms: 15 + 3 = 18 18 + -3x + -2x = -5(x + -7) + -1(8x + 7) + 7 Combine like terms: -3x + -2x = -5x 18 + -5x = -5(x + -7) + -1(8x + 7) + 7 Reorder the terms: 18 + -5x = -5(-7 + x) + -1(8x + 7) + 7 18 + -5x = (-7 * -5 + x * -5) + -1(8x + 7) + 7 18 + -5x = (35 + -5x) + -1(8x + 7) + 7 Reorder the terms: 18 + -5x = 35 + -5x + -1(7 + 8x) + 7 18 + -5x = 35 + -5x + (7 * -1 + 8x * -1) + 7 18 + -5x = 35 + -5x + (-7 + -8x) + 7 Reorder the terms: 18 + -5x = 35 + -7 + 7 + -5x + -8x Combine like terms: 35 + -7 = 28 18 + -5x = 28 + 7 + -5x + -8x Combine like terms: 28 + 7 = 35 18 + -5x = 35 + -5x + -8x Combine like terms: -5x + -8x = -13x 18 + -5x = 35 + -13x Solving 18 + -5x = 35 + -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. 18 + -5x + 13x = 35 + -13x + 13x Combine like terms: -5x + 13x = 8x 18 + 8x = 35 + -13x + 13x Combine like terms: -13x + 13x = 0 18 + 8x = 35 + 0 18 + 8x = 35 Add '-18' to each side of the equation. 18 + -18 + 8x = 35 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 35 + -18 8x = 35 + -18 Combine like terms: 35 + -18 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125
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