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Simplifying -12(x + -12) = -1(1 + 7x) Reorder the terms: -12(-12 + x) = -1(1 + 7x) (-12 * -12 + x * -12) = -1(1 + 7x) (144 + -12x) = -1(1 + 7x) 144 + -12x = (1 * -1 + 7x * -1) 144 + -12x = (-1 + -7x) Solving 144 + -12x = -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. 144 + -12x + 7x = -1 + -7x + 7x Combine like terms: -12x + 7x = -5x 144 + -5x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 144 + -5x = -1 + 0 144 + -5x = -1 Add '-144' to each side of the equation. 144 + -144 + -5x = -1 + -144 Combine like terms: 144 + -144 = 0 0 + -5x = -1 + -144 -5x = -1 + -144 Combine like terms: -1 + -144 = -145 -5x = -145 Divide each side by '-5'. x = 29 Simplifying x = 29
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