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Simplifying 0.5 + 10x = 3x + -5 Reorder the terms: 0.5 + 10x = -5 + 3x Solving 0.5 + 10x = -5 + 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. 0.5 + 10x + -3x = -5 + 3x + -3x Combine like terms: 10x + -3x = 7x 0.5 + 7x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 0.5 + 7x = -5 + 0 0.5 + 7x = -5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 7x = -5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 7x = -5 + -0.5 7x = -5 + -0.5 Combine like terms: -5 + -0.5 = -5.5 7x = -5.5 Divide each side by '7'. x = -0.7857142857 Simplifying x = -0.7857142857
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