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Simplifying 10 + -1x = 1 + 0.5x + 1 Reorder the terms: 10 + -1x = 1 + 1 + 0.5x Combine like terms: 1 + 1 = 2 10 + -1x = 2 + 0.5x Solving 10 + -1x = 2 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 10 + -1x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: -1x + -0.5x = -1.5x 10 + -1.5x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 10 + -1.5x = 2 + 0.0 10 + -1.5x = 2 Add '-10' to each side of the equation. 10 + -10 + -1.5x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -1.5x = 2 + -10 -1.5x = 2 + -10 Combine like terms: 2 + -10 = -8 -1.5x = -8 Divide each side by '-1.5'. x = 5.333333333 Simplifying x = 5.333333333
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