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Simplifying 3x + -5x + -10 = -8 + 3x + -12 Reorder the terms: -10 + 3x + -5x = -8 + 3x + -12 Combine like terms: 3x + -5x = -2x -10 + -2x = -8 + 3x + -12 Reorder the terms: -10 + -2x = -8 + -12 + 3x Combine like terms: -8 + -12 = -20 -10 + -2x = -20 + 3x Solving -10 + -2x = -20 + 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. -10 + -2x + -3x = -20 + 3x + -3x Combine like terms: -2x + -3x = -5x -10 + -5x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -5x = -20 + 0 -10 + -5x = -20 Add '10' to each side of the equation. -10 + 10 + -5x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -20 + 10 -5x = -20 + 10 Combine like terms: -20 + 10 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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