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Simplifying 2x + 3 = 5x + -0.5 Reorder the terms: 3 + 2x = 5x + -0.5 Reorder the terms: 3 + 2x = -0.5 + 5x Solving 3 + 2x = -0.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 2x + -5x = -0.5 + 5x + -5x Combine like terms: 2x + -5x = -3x 3 + -3x = -0.5 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -3x = -0.5 + 0 3 + -3x = -0.5 Add '-3' to each side of the equation. 3 + -3 + -3x = -0.5 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -0.5 + -3 -3x = -0.5 + -3 Combine like terms: -0.5 + -3 = -3.5 -3x = -3.5 Divide each side by '-3'. x = 1.166666667 Simplifying x = 1.166666667
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