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Simplifying 4(x + 8) = 9(x + 2) Reorder the terms: 4(8 + x) = 9(x + 2) (8 * 4 + x * 4) = 9(x + 2) (32 + 4x) = 9(x + 2) Reorder the terms: 32 + 4x = 9(2 + x) 32 + 4x = (2 * 9 + x * 9) 32 + 4x = (18 + 9x) Solving 32 + 4x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 32 + 4x + -9x = 18 + 9x + -9x Combine like terms: 4x + -9x = -5x 32 + -5x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + -5x = 18 + 0 32 + -5x = 18 Add '-32' to each side of the equation. 32 + -32 + -5x = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = 18 + -32 -5x = 18 + -32 Combine like terms: 18 + -32 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8
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