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Simplifying 1.5x + -6 = 0.75x + 4 Reorder the terms: -6 + 1.5x = 0.75x + 4 Reorder the terms: -6 + 1.5x = 4 + 0.75x Solving -6 + 1.5x = 4 + 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. -6 + 1.5x + -0.75x = 4 + 0.75x + -0.75x Combine like terms: 1.5x + -0.75x = 0.75x -6 + 0.75x = 4 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -6 + 0.75x = 4 + 0.00 -6 + 0.75x = 4 Add '6' to each side of the equation. -6 + 6 + 0.75x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 0.75x = 4 + 6 0.75x = 4 + 6 Combine like terms: 4 + 6 = 10 0.75x = 10 Divide each side by '0.75'. x = 13.33333333 Simplifying x = 13.33333333
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