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Simplifying 3(2x + 4) = -2(x + -2) Reorder the terms: 3(4 + 2x) = -2(x + -2) (4 * 3 + 2x * 3) = -2(x + -2) (12 + 6x) = -2(x + -2) Reorder the terms: 12 + 6x = -2(-2 + x) 12 + 6x = (-2 * -2 + x * -2) 12 + 6x = (4 + -2x) Solving 12 + 6x = 4 + -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. 12 + 6x + 2x = 4 + -2x + 2x Combine like terms: 6x + 2x = 8x 12 + 8x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 8x = 4 + 0 12 + 8x = 4 Add '-12' to each side of the equation. 12 + -12 + 8x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 4 + -12 8x = 4 + -12 Combine like terms: 4 + -12 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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