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Simplifying 40x = 4x + (32 + -4)(x + 10) Combine like terms: 32 + -4 = 28 40x = 4x + (28)(x + 10) Reorder the terms: 40x = 4x + 28(10 + x) 40x = 4x + (10 * 28 + x * 28) 40x = 4x + (280 + 28x) Reorder the terms: 40x = 280 + 4x + 28x Combine like terms: 4x + 28x = 32x 40x = 280 + 32x Solving 40x = 280 + 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. 40x + -32x = 280 + 32x + -32x Combine like terms: 40x + -32x = 8x 8x = 280 + 32x + -32x Combine like terms: 32x + -32x = 0 8x = 280 + 0 8x = 280 Divide each side by '8'. x = 35 Simplifying x = 35
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