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Simplifying 40 + 4x = 8(1 + x) 40 + 4x = (1 * 8 + x * 8) 40 + 4x = (8 + 8x) Solving 40 + 4x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 40 + 4x + -8x = 8 + 8x + -8x Combine like terms: 4x + -8x = -4x 40 + -4x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + -4x = 8 + 0 40 + -4x = 8 Add '-40' to each side of the equation. 40 + -40 + -4x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 8 + -40 -4x = 8 + -40 Combine like terms: 8 + -40 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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