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Simplifying 4(x + 9) = 32x Reorder the terms: 4(9 + x) = 32x (9 * 4 + x * 4) = 32x (36 + 4x) = 32x Solving 36 + 4x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 36 + 4x + -32x = 32x + -32x Combine like terms: 4x + -32x = -28x 36 + -28x = 32x + -32x Combine like terms: 32x + -32x = 0 36 + -28x = 0 Add '-36' to each side of the equation. 36 + -36 + -28x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -28x = 0 + -36 -28x = 0 + -36 Combine like terms: 0 + -36 = -36 -28x = -36 Divide each side by '-28'. x = 1.285714286 Simplifying x = 1.285714286
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