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Simplifying 12x + -1(4x + -12) = 1 + 7x Reorder the terms: 12x + -1(-12 + 4x) = 1 + 7x 12x + (-12 * -1 + 4x * -1) = 1 + 7x 12x + (12 + -4x) = 1 + 7x Reorder the terms: 12 + 12x + -4x = 1 + 7x Combine like terms: 12x + -4x = 8x 12 + 8x = 1 + 7x Solving 12 + 8x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 8x + -7x = 1 + 7x + -7x Combine like terms: 8x + -7x = 1x 12 + 1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 1x = 1 + 0 12 + 1x = 1 Add '-12' to each side of the equation. 12 + -12 + 1x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 1 + -12 1x = 1 + -12 Combine like terms: 1 + -12 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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