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Simplifying 3(x + 2) = -9 + -3(2x + 1) Reorder the terms: 3(2 + x) = -9 + -3(2x + 1) (2 * 3 + x * 3) = -9 + -3(2x + 1) (6 + 3x) = -9 + -3(2x + 1) Reorder the terms: 6 + 3x = -9 + -3(1 + 2x) 6 + 3x = -9 + (1 * -3 + 2x * -3) 6 + 3x = -9 + (-3 + -6x) Combine like terms: -9 + -3 = -12 6 + 3x = -12 + -6x Solving 6 + 3x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + 3x + 6x = -12 + -6x + 6x Combine like terms: 3x + 6x = 9x 6 + 9x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 9x = -12 + 0 6 + 9x = -12 Add '-6' to each side of the equation. 6 + -6 + 9x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -12 + -6 9x = -12 + -6 Combine like terms: -12 + -6 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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