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Simplifying 10(x + 3) = 3(x + 24) Reorder the terms: 10(3 + x) = 3(x + 24) (3 * 10 + x * 10) = 3(x + 24) (30 + 10x) = 3(x + 24) Reorder the terms: 30 + 10x = 3(24 + x) 30 + 10x = (24 * 3 + x * 3) 30 + 10x = (72 + 3x) Solving 30 + 10x = 72 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 10x + -3x = 72 + 3x + -3x Combine like terms: 10x + -3x = 7x 30 + 7x = 72 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 7x = 72 + 0 30 + 7x = 72 Add '-30' to each side of the equation. 30 + -30 + 7x = 72 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 72 + -30 7x = 72 + -30 Combine like terms: 72 + -30 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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