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Simplifying 0.5(10x + 8) = 3x + -6 Reorder the terms: 0.5(8 + 10x) = 3x + -6 (8 * 0.5 + 10x * 0.5) = 3x + -6 (4 + 5x) = 3x + -6 Reorder the terms: 4 + 5x = -6 + 3x Solving 4 + 5x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x 4 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 2x = -6 + 0 4 + 2x = -6 Add '-4' to each side of the equation. 4 + -4 + 2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -6 + -4 2x = -6 + -4 Combine like terms: -6 + -4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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