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Simplifying 5(2x + 3) + -1(x + 8) = 13 Reorder the terms: 5(3 + 2x) + -1(x + 8) = 13 (3 * 5 + 2x * 5) + -1(x + 8) = 13 (15 + 10x) + -1(x + 8) = 13 Reorder the terms: 15 + 10x + -1(8 + x) = 13 15 + 10x + (8 * -1 + x * -1) = 13 15 + 10x + (-8 + -1x) = 13 Reorder the terms: 15 + -8 + 10x + -1x = 13 Combine like terms: 15 + -8 = 7 7 + 10x + -1x = 13 Combine like terms: 10x + -1x = 9x 7 + 9x = 13 Solving 7 + 9x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 13 + -7 9x = 13 + -7 Combine like terms: 13 + -7 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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