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