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Simplifying 12x + -1(5x + -12) = 5 + 6x Reorder the terms: 12x + -1(-12 + 5x) = 5 + 6x 12x + (-12 * -1 + 5x * -1) = 5 + 6x 12x + (12 + -5x) = 5 + 6x Reorder the terms: 12 + 12x + -5x = 5 + 6x Combine like terms: 12x + -5x = 7x 12 + 7x = 5 + 6x Solving 12 + 7x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 7x + -6x = 5 + 6x + -6x Combine like terms: 7x + -6x = 1x 12 + 1x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 1x = 5 + 0 12 + 1x = 5 Add '-12' to each side of the equation. 12 + -12 + 1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 5 + -12 1x = 5 + -12 Combine like terms: 5 + -12 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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