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Simplifying -12(x + -5) + -9(x + 18) = 5(x + 4) + -278 Reorder the terms: -12(-5 + x) + -9(x + 18) = 5(x + 4) + -278 (-5 * -12 + x * -12) + -9(x + 18) = 5(x + 4) + -278 (60 + -12x) + -9(x + 18) = 5(x + 4) + -278 Reorder the terms: 60 + -12x + -9(18 + x) = 5(x + 4) + -278 60 + -12x + (18 * -9 + x * -9) = 5(x + 4) + -278 60 + -12x + (-162 + -9x) = 5(x + 4) + -278 Reorder the terms: 60 + -162 + -12x + -9x = 5(x + 4) + -278 Combine like terms: 60 + -162 = -102 -102 + -12x + -9x = 5(x + 4) + -278 Combine like terms: -12x + -9x = -21x -102 + -21x = 5(x + 4) + -278 Reorder the terms: -102 + -21x = 5(4 + x) + -278 -102 + -21x = (4 * 5 + x * 5) + -278 -102 + -21x = (20 + 5x) + -278 Reorder the terms: -102 + -21x = 20 + -278 + 5x Combine like terms: 20 + -278 = -258 -102 + -21x = -258 + 5x Solving -102 + -21x = -258 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -102 + -21x + -5x = -258 + 5x + -5x Combine like terms: -21x + -5x = -26x -102 + -26x = -258 + 5x + -5x Combine like terms: 5x + -5x = 0 -102 + -26x = -258 + 0 -102 + -26x = -258 Add '102' to each side of the equation. -102 + 102 + -26x = -258 + 102 Combine like terms: -102 + 102 = 0 0 + -26x = -258 + 102 -26x = -258 + 102 Combine like terms: -258 + 102 = -156 -26x = -156 Divide each side by '-26'. x = 6 Simplifying x = 6
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