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Simplifying 0.5x + -10 + 1.5x = x + 1 Reorder the terms: -10 + 0.5x + 1.5x = x + 1 Combine like terms: 0.5x + 1.5x = 2x -10 + 2x = x + 1 Reorder the terms: -10 + 2x = 1 + x Solving -10 + 2x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 2x + -1x = 1 + x + -1x Combine like terms: 2x + -1x = 1x -10 + 1x = 1 + x + -1x Combine like terms: x + -1x = 0 -10 + 1x = 1 + 0 -10 + 1x = 1 Add '10' to each side of the equation. -10 + 10 + 1x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 1 + 10 1x = 1 + 10 Combine like terms: 1 + 10 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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