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Simplifying 0.5x + -6.2 = 3x + -1.2 Reorder the terms: -6.2 + 0.5x = 3x + -1.2 Reorder the terms: -6.2 + 0.5x = -1.2 + 3x Solving -6.2 + 0.5x = -1.2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6.2 + 0.5x + -3x = -1.2 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -6.2 + -2.5x = -1.2 + 3x + -3x Combine like terms: 3x + -3x = 0 -6.2 + -2.5x = -1.2 + 0 -6.2 + -2.5x = -1.2 Add '6.2' to each side of the equation. -6.2 + 6.2 + -2.5x = -1.2 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + -2.5x = -1.2 + 6.2 -2.5x = -1.2 + 6.2 Combine like terms: -1.2 + 6.2 = 5 -2.5x = 5 Divide each side by '-2.5'. x = -2 Simplifying x = -2
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