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Simplifying 10(x + 6) = 3(x + 41) Reorder the terms: 10(6 + x) = 3(x + 41) (6 * 10 + x * 10) = 3(x + 41) (60 + 10x) = 3(x + 41) Reorder the terms: 60 + 10x = 3(41 + x) 60 + 10x = (41 * 3 + x * 3) 60 + 10x = (123 + 3x) Solving 60 + 10x = 123 + 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. 60 + 10x + -3x = 123 + 3x + -3x Combine like terms: 10x + -3x = 7x 60 + 7x = 123 + 3x + -3x Combine like terms: 3x + -3x = 0 60 + 7x = 123 + 0 60 + 7x = 123 Add '-60' to each side of the equation. 60 + -60 + 7x = 123 + -60 Combine like terms: 60 + -60 = 0 0 + 7x = 123 + -60 7x = 123 + -60 Combine like terms: 123 + -60 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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