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