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Simplifying (8x + 5) + -1(6x + -8) = (8x + 5) + (-3x + 7) Reorder the terms: (5 + 8x) + -1(6x + -8) = (8x + 5) + (-3x + 7) Remove parenthesis around (5 + 8x) 5 + 8x + -1(6x + -8) = (8x + 5) + (-3x + 7) Reorder the terms: 5 + 8x + -1(-8 + 6x) = (8x + 5) + (-3x + 7) 5 + 8x + (-8 * -1 + 6x * -1) = (8x + 5) + (-3x + 7) 5 + 8x + (8 + -6x) = (8x + 5) + (-3x + 7) Reorder the terms: 5 + 8 + 8x + -6x = (8x + 5) + (-3x + 7) Combine like terms: 5 + 8 = 13 13 + 8x + -6x = (8x + 5) + (-3x + 7) Combine like terms: 8x + -6x = 2x 13 + 2x = (8x + 5) + (-3x + 7) Reorder the terms: 13 + 2x = (5 + 8x) + (-3x + 7) Remove parenthesis around (5 + 8x) 13 + 2x = 5 + 8x + (-3x + 7) Reorder the terms: 13 + 2x = 5 + 8x + (7 + -3x) Remove parenthesis around (7 + -3x) 13 + 2x = 5 + 8x + 7 + -3x Reorder the terms: 13 + 2x = 5 + 7 + 8x + -3x Combine like terms: 5 + 7 = 12 13 + 2x = 12 + 8x + -3x Combine like terms: 8x + -3x = 5x 13 + 2x = 12 + 5x Solving 13 + 2x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + 2x + -5x = 12 + 5x + -5x Combine like terms: 2x + -5x = -3x 13 + -3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -3x = 12 + 0 13 + -3x = 12 Add '-13' to each side of the equation. 13 + -13 + -3x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 12 + -13 -3x = 12 + -13 Combine like terms: 12 + -13 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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