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Simplifying 48(3x + -72) + 24(5x + -49) + 30(5x + 7) = 110 Reorder the terms: 48(-72 + 3x) + 24(5x + -49) + 30(5x + 7) = 110 (-72 * 48 + 3x * 48) + 24(5x + -49) + 30(5x + 7) = 110 (-3456 + 144x) + 24(5x + -49) + 30(5x + 7) = 110 Reorder the terms: -3456 + 144x + 24(-49 + 5x) + 30(5x + 7) = 110 -3456 + 144x + (-49 * 24 + 5x * 24) + 30(5x + 7) = 110 -3456 + 144x + (-1176 + 120x) + 30(5x + 7) = 110 Reorder the terms: -3456 + 144x + -1176 + 120x + 30(7 + 5x) = 110 -3456 + 144x + -1176 + 120x + (7 * 30 + 5x * 30) = 110 -3456 + 144x + -1176 + 120x + (210 + 150x) = 110 Reorder the terms: -3456 + -1176 + 210 + 144x + 120x + 150x = 110 Combine like terms: -3456 + -1176 = -4632 -4632 + 210 + 144x + 120x + 150x = 110 Combine like terms: -4632 + 210 = -4422 -4422 + 144x + 120x + 150x = 110 Combine like terms: 144x + 120x = 264x -4422 + 264x + 150x = 110 Combine like terms: 264x + 150x = 414x -4422 + 414x = 110 Solving -4422 + 414x = 110 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4422' to each side of the equation. -4422 + 4422 + 414x = 110 + 4422 Combine like terms: -4422 + 4422 = 0 0 + 414x = 110 + 4422 414x = 110 + 4422 Combine like terms: 110 + 4422 = 4532 414x = 4532 Divide each side by '414'. x = 10.9468599 Simplifying x = 10.9468599
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