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Simplifying 0.5(6x + 4) = 5x + 8 Reorder the terms: 0.5(4 + 6x) = 5x + 8 (4 * 0.5 + 6x * 0.5) = 5x + 8 (2 + 3x) = 5x + 8 Reorder the terms: 2 + 3x = 8 + 5x Solving 2 + 3x = 8 + 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. 2 + 3x + -5x = 8 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = 8 + 0 2 + -2x = 8 Add '-2' to each side of the equation. 2 + -2 + -2x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 8 + -2 -2x = 8 + -2 Combine like terms: 8 + -2 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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