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Simplifying 8x + 2(5 + -4x) = 13 + -1(7 + -3x) 8x + (5 * 2 + -4x * 2) = 13 + -1(7 + -3x) 8x + (10 + -8x) = 13 + -1(7 + -3x) Reorder the terms: 10 + 8x + -8x = 13 + -1(7 + -3x) Combine like terms: 8x + -8x = 0 10 + 0 = 13 + -1(7 + -3x) 10 = 13 + -1(7 + -3x) 10 = 13 + (7 * -1 + -3x * -1) 10 = 13 + (-7 + 3x) Combine like terms: 13 + -7 = 6 10 = 6 + 3x Solving 10 = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -3x = 6 + 0 10 + -3x = 6 Add '-10' to each side of the equation. 10 + -10 + -3x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 6 + -10 -3x = 6 + -10 Combine like terms: 6 + -10 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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