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Simplifying 15(14 + -14x) + 3(9 + 7x) = 48 (14 * 15 + -14x * 15) + 3(9 + 7x) = 48 (210 + -210x) + 3(9 + 7x) = 48 210 + -210x + (9 * 3 + 7x * 3) = 48 210 + -210x + (27 + 21x) = 48 Reorder the terms: 210 + 27 + -210x + 21x = 48 Combine like terms: 210 + 27 = 237 237 + -210x + 21x = 48 Combine like terms: -210x + 21x = -189x 237 + -189x = 48 Solving 237 + -189x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-237' to each side of the equation. 237 + -237 + -189x = 48 + -237 Combine like terms: 237 + -237 = 0 0 + -189x = 48 + -237 -189x = 48 + -237 Combine like terms: 48 + -237 = -189 -189x = -189 Divide each side by '-189'. x = 1 Simplifying x = 1
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