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Simplifying 0.6x + 6 = 0.5x + 0.75x Reorder the terms: 6 + 0.6x = 0.5x + 0.75x Combine like terms: 0.5x + 0.75x = 1.25x 6 + 0.6x = 1.25x Solving 6 + 0.6x = 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 6 + 0.6x + -1.25x = 1.25x + -1.25x Combine like terms: 0.6x + -1.25x = -0.65x 6 + -0.65x = 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 6 + -0.65x = 0.00 Add '-6' to each side of the equation. 6 + -6 + -0.65x = 0.00 + -6 Combine like terms: 6 + -6 = 0 0 + -0.65x = 0.00 + -6 -0.65x = 0.00 + -6 Combine like terms: 0.00 + -6 = -6 -0.65x = -6 Divide each side by '-0.65'. x = 9.230769231 Simplifying x = 9.230769231
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