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Simplifying 5(x + 2) + -1(2x + -3) = 9 Reorder the terms: 5(2 + x) + -1(2x + -3) = 9 (2 * 5 + x * 5) + -1(2x + -3) = 9 (10 + 5x) + -1(2x + -3) = 9 Reorder the terms: 10 + 5x + -1(-3 + 2x) = 9 10 + 5x + (-3 * -1 + 2x * -1) = 9 10 + 5x + (3 + -2x) = 9 Reorder the terms: 10 + 3 + 5x + -2x = 9 Combine like terms: 10 + 3 = 13 13 + 5x + -2x = 9 Combine like terms: 5x + -2x = 3x 13 + 3x = 9 Solving 13 + 3x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 9 + -13 3x = 9 + -13 Combine like terms: 9 + -13 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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