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Simplifying 3(2x + 10) = 45 + x Reorder the terms: 3(10 + 2x) = 45 + x (10 * 3 + 2x * 3) = 45 + x (30 + 6x) = 45 + x Solving 30 + 6x = 45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 6x + -1x = 45 + x + -1x Combine like terms: 6x + -1x = 5x 30 + 5x = 45 + x + -1x Combine like terms: x + -1x = 0 30 + 5x = 45 + 0 30 + 5x = 45 Add '-30' to each side of the equation. 30 + -30 + 5x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 45 + -30 5x = 45 + -30 Combine like terms: 45 + -30 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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