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Simplifying 0.5x + 2.5 = 2x + -3 Reorder the terms: 2.5 + 0.5x = 2x + -3 Reorder the terms: 2.5 + 0.5x = -3 + 2x Solving 2.5 + 0.5x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2.5 + 0.5x + -2x = -3 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 2.5 + -1.5x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 2.5 + -1.5x = -3 + 0 2.5 + -1.5x = -3 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -1.5x = -3 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.5x = -3 + -2.5 -1.5x = -3 + -2.5 Combine like terms: -3 + -2.5 = -5.5 -1.5x = -5.5 Divide each side by '-1.5'. x = 3.666666667 Simplifying x = 3.666666667
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