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Simplifying 5x = 0.5(10 + (8x + -2)) Reorder the terms: 5x = 0.5(10 + (-2 + 8x)) Remove parenthesis around (-2 + 8x) 5x = 0.5(10 + -2 + 8x) Combine like terms: 10 + -2 = 8 5x = 0.5(8 + 8x) 5x = (8 * 0.5 + 8x * 0.5) 5x = (4 + 4x) Solving 5x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5x + -4x = 4 + 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 1x = 4 + 0 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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