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Simplifying 12 + -1(4x + -6) = 5x Reorder the terms: 12 + -1(-6 + 4x) = 5x 12 + (-6 * -1 + 4x * -1) = 5x 12 + (6 + -4x) = 5x Combine like terms: 12 + 6 = 18 18 + -4x = 5x Solving 18 + -4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -4x + -5x = 5x + -5x Combine like terms: -4x + -5x = -9x 18 + -9x = 5x + -5x Combine like terms: 5x + -5x = 0 18 + -9x = 0 Add '-18' to each side of the equation. 18 + -18 + -9x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 0 + -18 -9x = 0 + -18 Combine like terms: 0 + -18 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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