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Simplifying 3(3x + 1) + -2(x + -2) = 0 Reorder the terms: 3(1 + 3x) + -2(x + -2) = 0 (1 * 3 + 3x * 3) + -2(x + -2) = 0 (3 + 9x) + -2(x + -2) = 0 Reorder the terms: 3 + 9x + -2(-2 + x) = 0 3 + 9x + (-2 * -2 + x * -2) = 0 3 + 9x + (4 + -2x) = 0 Reorder the terms: 3 + 4 + 9x + -2x = 0 Combine like terms: 3 + 4 = 7 7 + 9x + -2x = 0 Combine like terms: 9x + -2x = 7x 7 + 7x = 0 Solving 7 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 0 + -7 7x = 0 + -7 Combine like terms: 0 + -7 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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