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Simplifying 3(2x + 5) + -5(x + -3) = 9 + 10 Reorder the terms: 3(5 + 2x) + -5(x + -3) = 9 + 10 (5 * 3 + 2x * 3) + -5(x + -3) = 9 + 10 (15 + 6x) + -5(x + -3) = 9 + 10 Reorder the terms: 15 + 6x + -5(-3 + x) = 9 + 10 15 + 6x + (-3 * -5 + x * -5) = 9 + 10 15 + 6x + (15 + -5x) = 9 + 10 Reorder the terms: 15 + 15 + 6x + -5x = 9 + 10 Combine like terms: 15 + 15 = 30 30 + 6x + -5x = 9 + 10 Combine like terms: 6x + -5x = 1x 30 + 1x = 9 + 10 Combine like terms: 9 + 10 = 19 30 + 1x = 19 Solving 30 + 1x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1x = 19 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 19 + -30 1x = 19 + -30 Combine like terms: 19 + -30 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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