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Simplifying 25(x + 9) = 14(2x + 9) Reorder the terms: 25(9 + x) = 14(2x + 9) (9 * 25 + x * 25) = 14(2x + 9) (225 + 25x) = 14(2x + 9) Reorder the terms: 225 + 25x = 14(9 + 2x) 225 + 25x = (9 * 14 + 2x * 14) 225 + 25x = (126 + 28x) Solving 225 + 25x = 126 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 225 + 25x + -28x = 126 + 28x + -28x Combine like terms: 25x + -28x = -3x 225 + -3x = 126 + 28x + -28x Combine like terms: 28x + -28x = 0 225 + -3x = 126 + 0 225 + -3x = 126 Add '-225' to each side of the equation. 225 + -225 + -3x = 126 + -225 Combine like terms: 225 + -225 = 0 0 + -3x = 126 + -225 -3x = 126 + -225 Combine like terms: 126 + -225 = -99 -3x = -99 Divide each side by '-3'. x = 33 Simplifying x = 33
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