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Simplifying 5(2x + 3) + -6 + 6 + -3(3x + -1) + -8 = 0 Reorder the terms: 5(3 + 2x) + -6 + 6 + -3(3x + -1) + -8 = 0 (3 * 5 + 2x * 5) + -6 + 6 + -3(3x + -1) + -8 = 0 (15 + 10x) + -6 + 6 + -3(3x + -1) + -8 = 0 Reorder the terms: 15 + 10x + -6 + 6 + -3(-1 + 3x) + -8 = 0 15 + 10x + -6 + 6 + (-1 * -3 + 3x * -3) + -8 = 0 15 + 10x + -6 + 6 + (3 + -9x) + -8 = 0 Reorder the terms: 15 + -6 + 6 + 3 + -8 + 10x + -9x = 0 Combine like terms: 15 + -6 = 9 9 + 6 + 3 + -8 + 10x + -9x = 0 Combine like terms: 9 + 6 = 15 15 + 3 + -8 + 10x + -9x = 0 Combine like terms: 15 + 3 = 18 18 + -8 + 10x + -9x = 0 Combine like terms: 18 + -8 = 10 10 + 10x + -9x = 0 Combine like terms: 10x + -9x = 1x 10 + 1x = 0 Solving 10 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 0 + -10 1x = 0 + -10 Combine like terms: 0 + -10 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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