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Simplifying -7(2x + 9) = 9(2x + 25) Reorder the terms: -7(9 + 2x) = 9(2x + 25) (9 * -7 + 2x * -7) = 9(2x + 25) (-63 + -14x) = 9(2x + 25) Reorder the terms: -63 + -14x = 9(25 + 2x) -63 + -14x = (25 * 9 + 2x * 9) -63 + -14x = (225 + 18x) Solving -63 + -14x = 225 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -63 + -14x + -18x = 225 + 18x + -18x Combine like terms: -14x + -18x = -32x -63 + -32x = 225 + 18x + -18x Combine like terms: 18x + -18x = 0 -63 + -32x = 225 + 0 -63 + -32x = 225 Add '63' to each side of the equation. -63 + 63 + -32x = 225 + 63 Combine like terms: -63 + 63 = 0 0 + -32x = 225 + 63 -32x = 225 + 63 Combine like terms: 225 + 63 = 288 -32x = 288 Divide each side by '-32'. x = -9 Simplifying x = -9
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