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Simplifying 5(3x + 7) = 9(8x + 4) Reorder the terms: 5(7 + 3x) = 9(8x + 4) (7 * 5 + 3x * 5) = 9(8x + 4) (35 + 15x) = 9(8x + 4) Reorder the terms: 35 + 15x = 9(4 + 8x) 35 + 15x = (4 * 9 + 8x * 9) 35 + 15x = (36 + 72x) Solving 35 + 15x = 36 + 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. 35 + 15x + -72x = 36 + 72x + -72x Combine like terms: 15x + -72x = -57x 35 + -57x = 36 + 72x + -72x Combine like terms: 72x + -72x = 0 35 + -57x = 36 + 0 35 + -57x = 36 Add '-35' to each side of the equation. 35 + -35 + -57x = 36 + -35 Combine like terms: 35 + -35 = 0 0 + -57x = 36 + -35 -57x = 36 + -35 Combine like terms: 36 + -35 = 1 -57x = 1 Divide each side by '-57'. x = -0.01754385965 Simplifying x = -0.01754385965
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