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Simplifying 2x + -10 + x + -2 + 0.5x + x + -2 = x + -2 Reorder the terms: -10 + -2 + -2 + 2x + x + 0.5x + x = x + -2 Combine like terms: -10 + -2 = -12 -12 + -2 + 2x + x + 0.5x + x = x + -2 Combine like terms: -12 + -2 = -14 -14 + 2x + x + 0.5x + x = x + -2 Combine like terms: 2x + x = 3x -14 + 3x + 0.5x + x = x + -2 Combine like terms: 3x + 0.5x = 3.5x -14 + 3.5x + x = x + -2 Combine like terms: 3.5x + x = 4.5x -14 + 4.5x = x + -2 Reorder the terms: -14 + 4.5x = -2 + x Solving -14 + 4.5x = -2 + 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. -14 + 4.5x + -1x = -2 + x + -1x Combine like terms: 4.5x + -1x = 3.5x -14 + 3.5x = -2 + x + -1x Combine like terms: x + -1x = 0 -14 + 3.5x = -2 + 0 -14 + 3.5x = -2 Add '14' to each side of the equation. -14 + 14 + 3.5x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 3.5x = -2 + 14 3.5x = -2 + 14 Combine like terms: -2 + 14 = 12 3.5x = 12 Divide each side by '3.5'. x = 3.428571429 Simplifying x = 3.428571429
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