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Simplifying 9(x + -7) = 5(x + 9) Reorder the terms: 9(-7 + x) = 5(x + 9) (-7 * 9 + x * 9) = 5(x + 9) (-63 + 9x) = 5(x + 9) Reorder the terms: -63 + 9x = 5(9 + x) -63 + 9x = (9 * 5 + x * 5) -63 + 9x = (45 + 5x) Solving -63 + 9x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -63 + 9x + -5x = 45 + 5x + -5x Combine like terms: 9x + -5x = 4x -63 + 4x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -63 + 4x = 45 + 0 -63 + 4x = 45 Add '63' to each side of the equation. -63 + 63 + 4x = 45 + 63 Combine like terms: -63 + 63 = 0 0 + 4x = 45 + 63 4x = 45 + 63 Combine like terms: 45 + 63 = 108 4x = 108 Divide each side by '4'. x = 27 Simplifying x = 27
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