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Simplifying 0.6x + 9 = 0.75x + -3 Reorder the terms: 9 + 0.6x = 0.75x + -3 Reorder the terms: 9 + 0.6x = -3 + 0.75x Solving 9 + 0.6x = -3 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 9 + 0.6x + -0.75x = -3 + 0.75x + -0.75x Combine like terms: 0.6x + -0.75x = -0.15x 9 + -0.15x = -3 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 9 + -0.15x = -3 + 0.00 9 + -0.15x = -3 Add '-9' to each side of the equation. 9 + -9 + -0.15x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -0.15x = -3 + -9 -0.15x = -3 + -9 Combine like terms: -3 + -9 = -12 -0.15x = -12 Divide each side by '-0.15'. x = 80 Simplifying x = 80
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