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Simplifying 2x + -4x + 10 = -8x + 46 + -12x Reorder the terms: 10 + 2x + -4x = -8x + 46 + -12x Combine like terms: 2x + -4x = -2x 10 + -2x = -8x + 46 + -12x Reorder the terms: 10 + -2x = 46 + -8x + -12x Combine like terms: -8x + -12x = -20x 10 + -2x = 46 + -20x Solving 10 + -2x = 46 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 10 + -2x + 20x = 46 + -20x + 20x Combine like terms: -2x + 20x = 18x 10 + 18x = 46 + -20x + 20x Combine like terms: -20x + 20x = 0 10 + 18x = 46 + 0 10 + 18x = 46 Add '-10' to each side of the equation. 10 + -10 + 18x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 18x = 46 + -10 18x = 46 + -10 Combine like terms: 46 + -10 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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