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Simplifying 2(3x + 4) = 2(x + 5) Reorder the terms: 2(4 + 3x) = 2(x + 5) (4 * 2 + 3x * 2) = 2(x + 5) (8 + 6x) = 2(x + 5) Reorder the terms: 8 + 6x = 2(5 + x) 8 + 6x = (5 * 2 + x * 2) 8 + 6x = (10 + 2x) Solving 8 + 6x = 10 + 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. 8 + 6x + -2x = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x 8 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 4x = 10 + 0 8 + 4x = 10 Add '-8' to each side of the equation. 8 + -8 + 4x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 10 + -8 4x = 10 + -8 Combine like terms: 10 + -8 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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