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Simplifying 3(2x + 2) = -6(x + 2) Reorder the terms: 3(2 + 2x) = -6(x + 2) (2 * 3 + 2x * 3) = -6(x + 2) (6 + 6x) = -6(x + 2) Reorder the terms: 6 + 6x = -6(2 + x) 6 + 6x = (2 * -6 + x * -6) 6 + 6x = (-12 + -6x) Solving 6 + 6x = -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 + 6x + 6x = -12 + -6x + 6x Combine like terms: 6x + 6x = 12x 6 + 12x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 12x = -12 + 0 6 + 12x = -12 Add '-6' to each side of the equation. 6 + -6 + 12x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -12 + -6 12x = -12 + -6 Combine like terms: -12 + -6 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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