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Simplifying 3(x + 10) = 5(x + 3) Reorder the terms: 3(10 + x) = 5(x + 3) (10 * 3 + x * 3) = 5(x + 3) (30 + 3x) = 5(x + 3) Reorder the terms: 30 + 3x = 5(3 + x) 30 + 3x = (3 * 5 + x * 5) 30 + 3x = (15 + 5x) Solving 30 + 3x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + 3x + -5x = 15 + 5x + -5x Combine like terms: 3x + -5x = -2x 30 + -2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -2x = 15 + 0 30 + -2x = 15 Add '-30' to each side of the equation. 30 + -30 + -2x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 15 + -30 -2x = 15 + -30 Combine like terms: 15 + -30 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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