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Simplifying 7x + 8 + x + 3 = -11(7 + -12x) + 12(-12x + 9) Reorder the terms: 8 + 3 + 7x + x = -11(7 + -12x) + 12(-12x + 9) Combine like terms: 8 + 3 = 11 11 + 7x + x = -11(7 + -12x) + 12(-12x + 9) Combine like terms: 7x + x = 8x 11 + 8x = -11(7 + -12x) + 12(-12x + 9) 11 + 8x = (7 * -11 + -12x * -11) + 12(-12x + 9) 11 + 8x = (-77 + 132x) + 12(-12x + 9) Reorder the terms: 11 + 8x = -77 + 132x + 12(9 + -12x) 11 + 8x = -77 + 132x + (9 * 12 + -12x * 12) 11 + 8x = -77 + 132x + (108 + -144x) Reorder the terms: 11 + 8x = -77 + 108 + 132x + -144x Combine like terms: -77 + 108 = 31 11 + 8x = 31 + 132x + -144x Combine like terms: 132x + -144x = -12x 11 + 8x = 31 + -12x Solving 11 + 8x = 31 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 11 + 8x + 12x = 31 + -12x + 12x Combine like terms: 8x + 12x = 20x 11 + 20x = 31 + -12x + 12x Combine like terms: -12x + 12x = 0 11 + 20x = 31 + 0 11 + 20x = 31 Add '-11' to each side of the equation. 11 + -11 + 20x = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 20x = 31 + -11 20x = 31 + -11 Combine like terms: 31 + -11 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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