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Simplifying 2(40 + x) = 10x + 8 (40 * 2 + x * 2) = 10x + 8 (80 + 2x) = 10x + 8 Reorder the terms: 80 + 2x = 8 + 10x Solving 80 + 2x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 80 + 2x + -10x = 8 + 10x + -10x Combine like terms: 2x + -10x = -8x 80 + -8x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 80 + -8x = 8 + 0 80 + -8x = 8 Add '-80' to each side of the equation. 80 + -80 + -8x = 8 + -80 Combine like terms: 80 + -80 = 0 0 + -8x = 8 + -80 -8x = 8 + -80 Combine like terms: 8 + -80 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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