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