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Simplifying 40 + 2(x + 3) = 8 + 3(2x + 5) Reorder the terms: 40 + 2(3 + x) = 8 + 3(2x + 5) 40 + (3 * 2 + x * 2) = 8 + 3(2x + 5) 40 + (6 + 2x) = 8 + 3(2x + 5) Combine like terms: 40 + 6 = 46 46 + 2x = 8 + 3(2x + 5) Reorder the terms: 46 + 2x = 8 + 3(5 + 2x) 46 + 2x = 8 + (5 * 3 + 2x * 3) 46 + 2x = 8 + (15 + 6x) Combine like terms: 8 + 15 = 23 46 + 2x = 23 + 6x Solving 46 + 2x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 46 + 2x + -6x = 23 + 6x + -6x Combine like terms: 2x + -6x = -4x 46 + -4x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + -4x = 23 + 0 46 + -4x = 23 Add '-46' to each side of the equation. 46 + -46 + -4x = 23 + -46 Combine like terms: 46 + -46 = 0 0 + -4x = 23 + -46 -4x = 23 + -46 Combine like terms: 23 + -46 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75
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