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Simplifying 11(10 + 12x) + -7x = 4x + 12(x + -9) (10 * 11 + 12x * 11) + -7x = 4x + 12(x + -9) (110 + 132x) + -7x = 4x + 12(x + -9) Combine like terms: 132x + -7x = 125x 110 + 125x = 4x + 12(x + -9) Reorder the terms: 110 + 125x = 4x + 12(-9 + x) 110 + 125x = 4x + (-9 * 12 + x * 12) 110 + 125x = 4x + (-108 + 12x) Reorder the terms: 110 + 125x = -108 + 4x + 12x Combine like terms: 4x + 12x = 16x 110 + 125x = -108 + 16x Solving 110 + 125x = -108 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 110 + 125x + -16x = -108 + 16x + -16x Combine like terms: 125x + -16x = 109x 110 + 109x = -108 + 16x + -16x Combine like terms: 16x + -16x = 0 110 + 109x = -108 + 0 110 + 109x = -108 Add '-110' to each side of the equation. 110 + -110 + 109x = -108 + -110 Combine like terms: 110 + -110 = 0 0 + 109x = -108 + -110 109x = -108 + -110 Combine like terms: -108 + -110 = -218 109x = -218 Divide each side by '109'. x = -2 Simplifying x = -2
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