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Simplifying 6(2x + 1) = 0.5(10x + 5) Reorder the terms: 6(1 + 2x) = 0.5(10x + 5) (1 * 6 + 2x * 6) = 0.5(10x + 5) (6 + 12x) = 0.5(10x + 5) Reorder the terms: 6 + 12x = 0.5(5 + 10x) 6 + 12x = (5 * 0.5 + 10x * 0.5) 6 + 12x = (2.5 + 5x) Solving 6 + 12x = 2.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 12x + -5x = 2.5 + 5x + -5x Combine like terms: 12x + -5x = 7x 6 + 7x = 2.5 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 7x = 2.5 + 0 6 + 7x = 2.5 Add '-6' to each side of the equation. 6 + -6 + 7x = 2.5 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 2.5 + -6 7x = 2.5 + -6 Combine like terms: 2.5 + -6 = -3.5 7x = -3.5 Divide each side by '7'. x = -0.5 Simplifying x = -0.5
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