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Simplifying 0.5x + -2 = 4x + 10 Reorder the terms: -2 + 0.5x = 4x + 10 Reorder the terms: -2 + 0.5x = 10 + 4x Solving -2 + 0.5x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 0.5x + -4x = 10 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x -2 + -3.5x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -3.5x = 10 + 0 -2 + -3.5x = 10 Add '2' to each side of the equation. -2 + 2 + -3.5x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -3.5x = 10 + 2 -3.5x = 10 + 2 Combine like terms: 10 + 2 = 12 -3.5x = 12 Divide each side by '-3.5'. x = -3.428571429 Simplifying x = -3.428571429
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