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Simplifying 49(x + 5) = 14(9x + 1) Reorder the terms: 49(5 + x) = 14(9x + 1) (5 * 49 + x * 49) = 14(9x + 1) (245 + 49x) = 14(9x + 1) Reorder the terms: 245 + 49x = 14(1 + 9x) 245 + 49x = (1 * 14 + 9x * 14) 245 + 49x = (14 + 126x) Solving 245 + 49x = 14 + 126x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126x' to each side of the equation. 245 + 49x + -126x = 14 + 126x + -126x Combine like terms: 49x + -126x = -77x 245 + -77x = 14 + 126x + -126x Combine like terms: 126x + -126x = 0 245 + -77x = 14 + 0 245 + -77x = 14 Add '-245' to each side of the equation. 245 + -245 + -77x = 14 + -245 Combine like terms: 245 + -245 = 0 0 + -77x = 14 + -245 -77x = 14 + -245 Combine like terms: 14 + -245 = -231 -77x = -231 Divide each side by '-77'. x = 3 Simplifying x = 3
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