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Simplifying 12(x + -12) = 9(1 + 7x) Reorder the terms: 12(-12 + x) = 9(1 + 7x) (-12 * 12 + x * 12) = 9(1 + 7x) (-144 + 12x) = 9(1 + 7x) -144 + 12x = (1 * 9 + 7x * 9) -144 + 12x = (9 + 63x) Solving -144 + 12x = 9 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -144 + 12x + -63x = 9 + 63x + -63x Combine like terms: 12x + -63x = -51x -144 + -51x = 9 + 63x + -63x Combine like terms: 63x + -63x = 0 -144 + -51x = 9 + 0 -144 + -51x = 9 Add '144' to each side of the equation. -144 + 144 + -51x = 9 + 144 Combine like terms: -144 + 144 = 0 0 + -51x = 9 + 144 -51x = 9 + 144 Combine like terms: 9 + 144 = 153 -51x = 153 Divide each side by '-51'. x = -3 Simplifying x = -3
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