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Simplifying 2(3x + 5) = 2(x + 15) Reorder the terms: 2(5 + 3x) = 2(x + 15) (5 * 2 + 3x * 2) = 2(x + 15) (10 + 6x) = 2(x + 15) Reorder the terms: 10 + 6x = 2(15 + x) 10 + 6x = (15 * 2 + x * 2) 10 + 6x = (30 + 2x) Solving 10 + 6x = 30 + 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. 10 + 6x + -2x = 30 + 2x + -2x Combine like terms: 6x + -2x = 4x 10 + 4x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 4x = 30 + 0 10 + 4x = 30 Add '-10' to each side of the equation. 10 + -10 + 4x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 30 + -10 4x = 30 + -10 Combine like terms: 30 + -10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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