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Simplifying 3(5x + 3) + -2(10 + x) + 24 = 0 Reorder the terms: 3(3 + 5x) + -2(10 + x) + 24 = 0 (3 * 3 + 5x * 3) + -2(10 + x) + 24 = 0 (9 + 15x) + -2(10 + x) + 24 = 0 9 + 15x + (10 * -2 + x * -2) + 24 = 0 9 + 15x + (-20 + -2x) + 24 = 0 Reorder the terms: 9 + -20 + 24 + 15x + -2x = 0 Combine like terms: 9 + -20 = -11 -11 + 24 + 15x + -2x = 0 Combine like terms: -11 + 24 = 13 13 + 15x + -2x = 0 Combine like terms: 15x + -2x = 13x 13 + 13x = 0 Solving 13 + 13x = 0 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 + 13x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 13x = 0 + -13 13x = 0 + -13 Combine like terms: 0 + -13 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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