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Simplifying 3(15 + x) = 2(x + 35) (15 * 3 + x * 3) = 2(x + 35) (45 + 3x) = 2(x + 35) Reorder the terms: 45 + 3x = 2(35 + x) 45 + 3x = (35 * 2 + x * 2) 45 + 3x = (70 + 2x) Solving 45 + 3x = 70 + 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. 45 + 3x + -2x = 70 + 2x + -2x Combine like terms: 3x + -2x = 1x 45 + 1x = 70 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 1x = 70 + 0 45 + 1x = 70 Add '-45' to each side of the equation. 45 + -45 + 1x = 70 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 70 + -45 1x = 70 + -45 Combine like terms: 70 + -45 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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