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Simplifying 12 + -1(x + 1) = 3 + x Reorder the terms: 12 + -1(1 + x) = 3 + x 12 + (1 * -1 + x * -1) = 3 + x 12 + (-1 + -1x) = 3 + x Combine like terms: 12 + -1 = 11 11 + -1x = 3 + x Solving 11 + -1x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11 + -1x + -1x = 3 + x + -1x Combine like terms: -1x + -1x = -2x 11 + -2x = 3 + x + -1x Combine like terms: x + -1x = 0 11 + -2x = 3 + 0 11 + -2x = 3 Add '-11' to each side of the equation. 11 + -11 + -2x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 3 + -11 -2x = 3 + -11 Combine like terms: 3 + -11 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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