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Simplifying x + 9 + 1 + -11x = 12(x + 10) + 6(1 + 6x) Reorder the terms: 9 + 1 + x + -11x = 12(x + 10) + 6(1 + 6x) Combine like terms: 9 + 1 = 10 10 + x + -11x = 12(x + 10) + 6(1 + 6x) Combine like terms: x + -11x = -10x 10 + -10x = 12(x + 10) + 6(1 + 6x) Reorder the terms: 10 + -10x = 12(10 + x) + 6(1 + 6x) 10 + -10x = (10 * 12 + x * 12) + 6(1 + 6x) 10 + -10x = (120 + 12x) + 6(1 + 6x) 10 + -10x = 120 + 12x + (1 * 6 + 6x * 6) 10 + -10x = 120 + 12x + (6 + 36x) Reorder the terms: 10 + -10x = 120 + 6 + 12x + 36x Combine like terms: 120 + 6 = 126 10 + -10x = 126 + 12x + 36x Combine like terms: 12x + 36x = 48x 10 + -10x = 126 + 48x Solving 10 + -10x = 126 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 10 + -10x + -48x = 126 + 48x + -48x Combine like terms: -10x + -48x = -58x 10 + -58x = 126 + 48x + -48x Combine like terms: 48x + -48x = 0 10 + -58x = 126 + 0 10 + -58x = 126 Add '-10' to each side of the equation. 10 + -10 + -58x = 126 + -10 Combine like terms: 10 + -10 = 0 0 + -58x = 126 + -10 -58x = 126 + -10 Combine like terms: 126 + -10 = 116 -58x = 116 Divide each side by '-58'. x = -2 Simplifying x = -2
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