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Simplifying 12x + -1(6x + -12) = 3 + 5x Reorder the terms: 12x + -1(-12 + 6x) = 3 + 5x 12x + (-12 * -1 + 6x * -1) = 3 + 5x 12x + (12 + -6x) = 3 + 5x Reorder the terms: 12 + 12x + -6x = 3 + 5x Combine like terms: 12x + -6x = 6x 12 + 6x = 3 + 5x Solving 12 + 6x = 3 + 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. 12 + 6x + -5x = 3 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 3 + 0 12 + 1x = 3 Add '-12' to each side of the equation. 12 + -12 + 1x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 3 + -12 1x = 3 + -12 Combine like terms: 3 + -12 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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