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