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Simplifying 18(x + 4) + 3(x + -9) = 12(x + 7) Reorder the terms: 18(4 + x) + 3(x + -9) = 12(x + 7) (4 * 18 + x * 18) + 3(x + -9) = 12(x + 7) (72 + 18x) + 3(x + -9) = 12(x + 7) Reorder the terms: 72 + 18x + 3(-9 + x) = 12(x + 7) 72 + 18x + (-9 * 3 + x * 3) = 12(x + 7) 72 + 18x + (-27 + 3x) = 12(x + 7) Reorder the terms: 72 + -27 + 18x + 3x = 12(x + 7) Combine like terms: 72 + -27 = 45 45 + 18x + 3x = 12(x + 7) Combine like terms: 18x + 3x = 21x 45 + 21x = 12(x + 7) Reorder the terms: 45 + 21x = 12(7 + x) 45 + 21x = (7 * 12 + x * 12) 45 + 21x = (84 + 12x) Solving 45 + 21x = 84 + 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. 45 + 21x + -12x = 84 + 12x + -12x Combine like terms: 21x + -12x = 9x 45 + 9x = 84 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + 9x = 84 + 0 45 + 9x = 84 Add '-45' to each side of the equation. 45 + -45 + 9x = 84 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = 84 + -45 9x = 84 + -45 Combine like terms: 84 + -45 = 39 9x = 39 Divide each side by '9'. x = 4.333333333 Simplifying x = 4.333333333
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