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Simplifying 4(x + 9) + -2(-4x + -9) = 11(x + 7) + 2 Reorder the terms: 4(9 + x) + -2(-4x + -9) = 11(x + 7) + 2 (9 * 4 + x * 4) + -2(-4x + -9) = 11(x + 7) + 2 (36 + 4x) + -2(-4x + -9) = 11(x + 7) + 2 Reorder the terms: 36 + 4x + -2(-9 + -4x) = 11(x + 7) + 2 36 + 4x + (-9 * -2 + -4x * -2) = 11(x + 7) + 2 36 + 4x + (18 + 8x) = 11(x + 7) + 2 Reorder the terms: 36 + 18 + 4x + 8x = 11(x + 7) + 2 Combine like terms: 36 + 18 = 54 54 + 4x + 8x = 11(x + 7) + 2 Combine like terms: 4x + 8x = 12x 54 + 12x = 11(x + 7) + 2 Reorder the terms: 54 + 12x = 11(7 + x) + 2 54 + 12x = (7 * 11 + x * 11) + 2 54 + 12x = (77 + 11x) + 2 Reorder the terms: 54 + 12x = 77 + 2 + 11x Combine like terms: 77 + 2 = 79 54 + 12x = 79 + 11x Solving 54 + 12x = 79 + 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. 54 + 12x + -11x = 79 + 11x + -11x Combine like terms: 12x + -11x = 1x 54 + 1x = 79 + 11x + -11x Combine like terms: 11x + -11x = 0 54 + 1x = 79 + 0 54 + 1x = 79 Add '-54' to each side of the equation. 54 + -54 + 1x = 79 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = 79 + -54 1x = 79 + -54 Combine like terms: 79 + -54 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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