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Simplifying 0.75x + -0.5 = 1.125x + 1.5 Reorder the terms: -0.5 + 0.75x = 1.125x + 1.5 Reorder the terms: -0.5 + 0.75x = 1.5 + 1.125x Solving -0.5 + 0.75x = 1.5 + 1.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125x' to each side of the equation. -0.5 + 0.75x + -1.125x = 1.5 + 1.125x + -1.125x Combine like terms: 0.75x + -1.125x = -0.375x -0.5 + -0.375x = 1.5 + 1.125x + -1.125x Combine like terms: 1.125x + -1.125x = 0.000 -0.5 + -0.375x = 1.5 + 0.000 -0.5 + -0.375x = 1.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.375x = 1.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.375x = 1.5 + 0.5 -0.375x = 1.5 + 0.5 Combine like terms: 1.5 + 0.5 = 2 -0.375x = 2 Divide each side by '-0.375'. x = -5.333333333 Simplifying x = -5.333333333
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