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Simplifying 0.5x + -4 = 2x + 7 Reorder the terms: -4 + 0.5x = 2x + 7 Reorder the terms: -4 + 0.5x = 7 + 2x Solving -4 + 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. -4 + 0.5x + -2x = 7 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -4 + -1.5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -1.5x = 7 + 0 -4 + -1.5x = 7 Add '4' to each side of the equation. -4 + 4 + -1.5x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -1.5x = 7 + 4 -1.5x = 7 + 4 Combine like terms: 7 + 4 = 11 -1.5x = 11 Divide each side by '-1.5'. x = -7.333333333 Simplifying x = -7.333333333
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