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Simplifying 5(3x + -1) + 2(3 + -1x) = 8 Reorder the terms: 5(-1 + 3x) + 2(3 + -1x) = 8 (-1 * 5 + 3x * 5) + 2(3 + -1x) = 8 (-5 + 15x) + 2(3 + -1x) = 8 -5 + 15x + (3 * 2 + -1x * 2) = 8 -5 + 15x + (6 + -2x) = 8 Reorder the terms: -5 + 6 + 15x + -2x = 8 Combine like terms: -5 + 6 = 1 1 + 15x + -2x = 8 Combine like terms: 15x + -2x = 13x 1 + 13x = 8 Solving 1 + 13x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 13x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 8 + -1 13x = 8 + -1 Combine like terms: 8 + -1 = 7 13x = 7 Divide each side by '13'. x = 0.5384615385 Simplifying x = 0.5384615385
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