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Simplifying 40 + 8x = 4(8x + 4) Reorder the terms: 40 + 8x = 4(4 + 8x) 40 + 8x = (4 * 4 + 8x * 4) 40 + 8x = (16 + 32x) Solving 40 + 8x = 16 + 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. 40 + 8x + -32x = 16 + 32x + -32x Combine like terms: 8x + -32x = -24x 40 + -24x = 16 + 32x + -32x Combine like terms: 32x + -32x = 0 40 + -24x = 16 + 0 40 + -24x = 16 Add '-40' to each side of the equation. 40 + -40 + -24x = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -24x = 16 + -40 -24x = 16 + -40 Combine like terms: 16 + -40 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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