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Simplifying 4x + -0.5 = 2x + 7.5 + -1x Reorder the terms: -0.5 + 4x = 2x + 7.5 + -1x Reorder the terms: -0.5 + 4x = 7.5 + 2x + -1x Combine like terms: 2x + -1x = 1x -0.5 + 4x = 7.5 + 1x Solving -0.5 + 4x = 7.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.5 + 4x + -1x = 7.5 + 1x + -1x Combine like terms: 4x + -1x = 3x -0.5 + 3x = 7.5 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.5 + 3x = 7.5 + 0 -0.5 + 3x = 7.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + 3x = 7.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 3x = 7.5 + 0.5 3x = 7.5 + 0.5 Combine like terms: 7.5 + 0.5 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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