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Simplifying 6x + 8 = 0.5(10x + 10) Reorder the terms: 8 + 6x = 0.5(10x + 10) Reorder the terms: 8 + 6x = 0.5(10 + 10x) 8 + 6x = (10 * 0.5 + 10x * 0.5) 8 + 6x = (5 + 5x) Solving 8 + 6x = 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. 8 + 6x + -5x = 5 + 5x + -5x Combine like terms: 6x + -5x = 1x 8 + 1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 1x = 5 + 0 8 + 1x = 5 Add '-8' to each side of the equation. 8 + -8 + 1x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 5 + -8 1x = 5 + -8 Combine like terms: 5 + -8 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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