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Simplifying 3(x + 6) + -2(5x + -3) = 13 Reorder the terms: 3(6 + x) + -2(5x + -3) = 13 (6 * 3 + x * 3) + -2(5x + -3) = 13 (18 + 3x) + -2(5x + -3) = 13 Reorder the terms: 18 + 3x + -2(-3 + 5x) = 13 18 + 3x + (-3 * -2 + 5x * -2) = 13 18 + 3x + (6 + -10x) = 13 Reorder the terms: 18 + 6 + 3x + -10x = 13 Combine like terms: 18 + 6 = 24 24 + 3x + -10x = 13 Combine like terms: 3x + -10x = -7x 24 + -7x = 13 Solving 24 + -7x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -7x = 13 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 13 + -24 -7x = 13 + -24 Combine like terms: 13 + -24 = -11 -7x = -11 Divide each side by '-7'. x = 1.571428571 Simplifying x = 1.571428571
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