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Simplifying 15(14 + -14x) + 3(9 + 7y) = 48 (14 * 15 + -14x * 15) + 3(9 + 7y) = 48 (210 + -210x) + 3(9 + 7y) = 48 210 + -210x + (9 * 3 + 7y * 3) = 48 210 + -210x + (27 + 21y) = 48 Reorder the terms: 210 + 27 + -210x + 21y = 48 Combine like terms: 210 + 27 = 237 237 + -210x + 21y = 48 Solving 237 + -210x + 21y = 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 + -210x + -237 + 21y = 48 + -237 Reorder the terms: 237 + -237 + -210x + 21y = 48 + -237 Combine like terms: 237 + -237 = 0 0 + -210x + 21y = 48 + -237 -210x + 21y = 48 + -237 Combine like terms: 48 + -237 = -189 -210x + 21y = -189 Add '-21y' to each side of the equation. -210x + 21y + -21y = -189 + -21y Combine like terms: 21y + -21y = 0 -210x + 0 = -189 + -21y -210x = -189 + -21y Divide each side by '-210'. x = 0.9 + 0.1y Simplifying x = 0.9 + 0.1y
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