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Simplifying 10(x + 6) = 2(x + 50) Reorder the terms: 10(6 + x) = 2(x + 50) (6 * 10 + x * 10) = 2(x + 50) (60 + 10x) = 2(x + 50) Reorder the terms: 60 + 10x = 2(50 + x) 60 + 10x = (50 * 2 + x * 2) 60 + 10x = (100 + 2x) Solving 60 + 10x = 100 + 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. 60 + 10x + -2x = 100 + 2x + -2x Combine like terms: 10x + -2x = 8x 60 + 8x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 60 + 8x = 100 + 0 60 + 8x = 100 Add '-60' to each side of the equation. 60 + -60 + 8x = 100 + -60 Combine like terms: 60 + -60 = 0 0 + 8x = 100 + -60 8x = 100 + -60 Combine like terms: 100 + -60 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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