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Simplifying 9(4x + 7) = 9(8x + 5) Reorder the terms: 9(7 + 4x) = 9(8x + 5) (7 * 9 + 4x * 9) = 9(8x + 5) (63 + 36x) = 9(8x + 5) Reorder the terms: 63 + 36x = 9(5 + 8x) 63 + 36x = (5 * 9 + 8x * 9) 63 + 36x = (45 + 72x) Solving 63 + 36x = 45 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 63 + 36x + -72x = 45 + 72x + -72x Combine like terms: 36x + -72x = -36x 63 + -36x = 45 + 72x + -72x Combine like terms: 72x + -72x = 0 63 + -36x = 45 + 0 63 + -36x = 45 Add '-63' to each side of the equation. 63 + -63 + -36x = 45 + -63 Combine like terms: 63 + -63 = 0 0 + -36x = 45 + -63 -36x = 45 + -63 Combine like terms: 45 + -63 = -18 -36x = -18 Divide each side by '-36'. x = 0.5 Simplifying x = 0.5
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