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Simplifying 0.5x + 1 = 2x + -4 Reorder the terms: 1 + 0.5x = 2x + -4 Reorder the terms: 1 + 0.5x = -4 + 2x Solving 1 + 0.5x = -4 + 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. 1 + 0.5x + -2x = -4 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 1 + -1.5x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -1.5x = -4 + 0 1 + -1.5x = -4 Add '-1' to each side of the equation. 1 + -1 + -1.5x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5x = -4 + -1 -1.5x = -4 + -1 Combine like terms: -4 + -1 = -5 -1.5x = -5 Divide each side by '-1.5'. x = 3.333333333 Simplifying x = 3.333333333
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