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Simplifying 8(x + 5) = 2(x + 41) Reorder the terms: 8(5 + x) = 2(x + 41) (5 * 8 + x * 8) = 2(x + 41) (40 + 8x) = 2(x + 41) Reorder the terms: 40 + 8x = 2(41 + x) 40 + 8x = (41 * 2 + x * 2) 40 + 8x = (82 + 2x) Solving 40 + 8x = 82 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 8x + -2x = 82 + 2x + -2x Combine like terms: 8x + -2x = 6x 40 + 6x = 82 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 6x = 82 + 0 40 + 6x = 82 Add '-40' to each side of the equation. 40 + -40 + 6x = 82 + -40 Combine like terms: 40 + -40 = 0 0 + 6x = 82 + -40 6x = 82 + -40 Combine like terms: 82 + -40 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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