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Simplifying -12(x + -12) + 4(1 + -11x) = 8x + 10x Reorder the terms: -12(-12 + x) + 4(1 + -11x) = 8x + 10x (-12 * -12 + x * -12) + 4(1 + -11x) = 8x + 10x (144 + -12x) + 4(1 + -11x) = 8x + 10x 144 + -12x + (1 * 4 + -11x * 4) = 8x + 10x 144 + -12x + (4 + -44x) = 8x + 10x Reorder the terms: 144 + 4 + -12x + -44x = 8x + 10x Combine like terms: 144 + 4 = 148 148 + -12x + -44x = 8x + 10x Combine like terms: -12x + -44x = -56x 148 + -56x = 8x + 10x Combine like terms: 8x + 10x = 18x 148 + -56x = 18x Solving 148 + -56x = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 148 + -56x + -18x = 18x + -18x Combine like terms: -56x + -18x = -74x 148 + -74x = 18x + -18x Combine like terms: 18x + -18x = 0 148 + -74x = 0 Add '-148' to each side of the equation. 148 + -148 + -74x = 0 + -148 Combine like terms: 148 + -148 = 0 0 + -74x = 0 + -148 -74x = 0 + -148 Combine like terms: 0 + -148 = -148 -74x = -148 Divide each side by '-74'. x = 2 Simplifying x = 2
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