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Simplifying 3(3x + 1) + -3x = -9 + 2x Reorder the terms: 3(1 + 3x) + -3x = -9 + 2x (1 * 3 + 3x * 3) + -3x = -9 + 2x (3 + 9x) + -3x = -9 + 2x Combine like terms: 9x + -3x = 6x 3 + 6x = -9 + 2x Solving 3 + 6x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 6x + -2x = -9 + 2x + -2x Combine like terms: 6x + -2x = 4x 3 + 4x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x = -9 + 0 3 + 4x = -9 Add '-3' to each side of the equation. 3 + -3 + 4x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -9 + -3 4x = -9 + -3 Combine like terms: -9 + -3 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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