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Simplifying 12 + 2(x + 1) + 4(x + -1) = -2 Reorder the terms: 12 + 2(1 + x) + 4(x + -1) = -2 12 + (1 * 2 + x * 2) + 4(x + -1) = -2 12 + (2 + 2x) + 4(x + -1) = -2 Reorder the terms: 12 + 2 + 2x + 4(-1 + x) = -2 12 + 2 + 2x + (-1 * 4 + x * 4) = -2 12 + 2 + 2x + (-4 + 4x) = -2 Reorder the terms: 12 + 2 + -4 + 2x + 4x = -2 Combine like terms: 12 + 2 = 14 14 + -4 + 2x + 4x = -2 Combine like terms: 14 + -4 = 10 10 + 2x + 4x = -2 Combine like terms: 2x + 4x = 6x 10 + 6x = -2 Solving 10 + 6x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -2 + -10 6x = -2 + -10 Combine like terms: -2 + -10 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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