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Simplifying 0.5x + 4 = 2x + -6 Reorder the terms: 4 + 0.5x = 2x + -6 Reorder the terms: 4 + 0.5x = -6 + 2x Solving 4 + 0.5x = -6 + 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. 4 + 0.5x + -2x = -6 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 4 + -1.5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -1.5x = -6 + 0 4 + -1.5x = -6 Add '-4' to each side of the equation. 4 + -4 + -1.5x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5x = -6 + -4 -1.5x = -6 + -4 Combine like terms: -6 + -4 = -10 -1.5x = -10 Divide each side by '-1.5'. x = 6.666666667 Simplifying x = 6.666666667
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