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Simplifying 2x + 2(x + 1) = 12 + -6x Reorder the terms: 2x + 2(1 + x) = 12 + -6x 2x + (1 * 2 + x * 2) = 12 + -6x 2x + (2 + 2x) = 12 + -6x Reorder the terms: 2 + 2x + 2x = 12 + -6x Combine like terms: 2x + 2x = 4x 2 + 4x = 12 + -6x Solving 2 + 4x = 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. 2 + 4x + 6x = 12 + -6x + 6x Combine like terms: 4x + 6x = 10x 2 + 10x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 10x = 12 + 0 2 + 10x = 12 Add '-2' to each side of the equation. 2 + -2 + 10x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 12 + -2 10x = 12 + -2 Combine like terms: 12 + -2 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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