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Simplifying 4(3x + 6) + -7 = 11(x + -9) Reorder the terms: 4(6 + 3x) + -7 = 11(x + -9) (6 * 4 + 3x * 4) + -7 = 11(x + -9) (24 + 12x) + -7 = 11(x + -9) Reorder the terms: 24 + -7 + 12x = 11(x + -9) Combine like terms: 24 + -7 = 17 17 + 12x = 11(x + -9) Reorder the terms: 17 + 12x = 11(-9 + x) 17 + 12x = (-9 * 11 + x * 11) 17 + 12x = (-99 + 11x) Solving 17 + 12x = -99 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 17 + 12x + -11x = -99 + 11x + -11x Combine like terms: 12x + -11x = 1x 17 + 1x = -99 + 11x + -11x Combine like terms: 11x + -11x = 0 17 + 1x = -99 + 0 17 + 1x = -99 Add '-17' to each side of the equation. 17 + -17 + 1x = -99 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = -99 + -17 1x = -99 + -17 Combine like terms: -99 + -17 = -116 1x = -116 Divide each side by '1'. x = -116 Simplifying x = -116
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