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