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Simplifying 3(5x + 3) + -3(2x + -1) = 0 Reorder the terms: 3(3 + 5x) + -3(2x + -1) = 0 (3 * 3 + 5x * 3) + -3(2x + -1) = 0 (9 + 15x) + -3(2x + -1) = 0 Reorder the terms: 9 + 15x + -3(-1 + 2x) = 0 9 + 15x + (-1 * -3 + 2x * -3) = 0 9 + 15x + (3 + -6x) = 0 Reorder the terms: 9 + 3 + 15x + -6x = 0 Combine like terms: 9 + 3 = 12 12 + 15x + -6x = 0 Combine like terms: 15x + -6x = 9x 12 + 9x = 0 Solving 12 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 0 + -12 9x = 0 + -12 Combine like terms: 0 + -12 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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