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Simplifying 0.5 + 0.5x = 2x + -7 Reorder the terms: 0.5 + 0.5x = -7 + 2x Solving 0.5 + 0.5x = -7 + 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. 0.5 + 0.5x + -2x = -7 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 0.5 + -1.5x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 0.5 + -1.5x = -7 + 0 0.5 + -1.5x = -7 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1.5x = -7 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1.5x = -7 + -0.5 -1.5x = -7 + -0.5 Combine like terms: -7 + -0.5 = -7.5 -1.5x = -7.5 Divide each side by '-1.5'. x = 5 Simplifying x = 5
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