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Simplifying 12 + -2(x + 1) = 2x + 2 Reorder the terms: 12 + -2(1 + x) = 2x + 2 12 + (1 * -2 + x * -2) = 2x + 2 12 + (-2 + -2x) = 2x + 2 Combine like terms: 12 + -2 = 10 10 + -2x = 2x + 2 Reorder the terms: 10 + -2x = 2 + 2x Solving 10 + -2x = 2 + 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. 10 + -2x + -2x = 2 + 2x + -2x Combine like terms: -2x + -2x = -4x 10 + -4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -4x = 2 + 0 10 + -4x = 2 Add '-10' to each side of the equation. 10 + -10 + -4x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 2 + -10 -4x = 2 + -10 Combine like terms: 2 + -10 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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