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Simplifying 6(2x + 10) = 1(x + 5) Reorder the terms: 6(10 + 2x) = 1(x + 5) (10 * 6 + 2x * 6) = 1(x + 5) (60 + 12x) = 1(x + 5) Reorder the terms: 60 + 12x = 1(5 + x) 60 + 12x = (5 * 1 + x * 1) 60 + 12x = (5 + 1x) Solving 60 + 12x = 5 + 1x 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. 60 + 12x + -1x = 5 + 1x + -1x Combine like terms: 12x + -1x = 11x 60 + 11x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 60 + 11x = 5 + 0 60 + 11x = 5 Add '-60' to each side of the equation. 60 + -60 + 11x = 5 + -60 Combine like terms: 60 + -60 = 0 0 + 11x = 5 + -60 11x = 5 + -60 Combine like terms: 5 + -60 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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