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Simplifying 8(0.75x + 0.5) = 5x Reorder the terms: 8(0.5 + 0.75x) = 5x (0.5 * 8 + 0.75x * 8) = 5x (4 + 6x) = 5x Solving 4 + 6x = 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. 4 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 4 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 4 + 1x = 0 Add '-4' to each side of the equation. 4 + -4 + 1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 0 + -4 1x = 0 + -4 Combine like terms: 0 + -4 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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