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Simplifying 5 + -1(2x + -6) = 12 + -1x Reorder the terms: 5 + -1(-6 + 2x) = 12 + -1x 5 + (-6 * -1 + 2x * -1) = 12 + -1x 5 + (6 + -2x) = 12 + -1x Combine like terms: 5 + 6 = 11 11 + -2x = 12 + -1x Solving 11 + -2x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 11 + -2x + x = 12 + -1x + x Combine like terms: -2x + x = -1x 11 + -1x = 12 + -1x + x Combine like terms: -1x + x = 0 11 + -1x = 12 + 0 11 + -1x = 12 Add '-11' to each side of the equation. 11 + -11 + -1x = 12 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 12 + -11 -1x = 12 + -11 Combine like terms: 12 + -11 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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