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Simplifying 10x + -5x + 3 + -5 = -10 + 3x + 2 Reorder the terms: 3 + -5 + 10x + -5x = -10 + 3x + 2 Combine like terms: 3 + -5 = -2 -2 + 10x + -5x = -10 + 3x + 2 Combine like terms: 10x + -5x = 5x -2 + 5x = -10 + 3x + 2 Reorder the terms: -2 + 5x = -10 + 2 + 3x Combine like terms: -10 + 2 = -8 -2 + 5x = -8 + 3x Solving -2 + 5x = -8 + 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. -2 + 5x + -3x = -8 + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = -8 + 0 -2 + 2x = -8 Add '2' to each side of the equation. -2 + 2 + 2x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -8 + 2 2x = -8 + 2 Combine like terms: -8 + 2 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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