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Simplifying 0.5(10x + 10) = 6x + -8 Reorder the terms: 0.5(10 + 10x) = 6x + -8 (10 * 0.5 + 10x * 0.5) = 6x + -8 (5 + 5x) = 6x + -8 Reorder the terms: 5 + 5x = -8 + 6x Solving 5 + 5x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 5x + -6x = -8 + 6x + -6x Combine like terms: 5x + -6x = -1x 5 + -1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -1x = -8 + 0 5 + -1x = -8 Add '-5' to each side of the equation. 5 + -5 + -1x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -8 + -5 -1x = -8 + -5 Combine like terms: -8 + -5 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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