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Simplifying 15x + 10 + -6 = -8x + 12 + 20x + -2 Reorder the terms: 10 + -6 + 15x = -8x + 12 + 20x + -2 Combine like terms: 10 + -6 = 4 4 + 15x = -8x + 12 + 20x + -2 Reorder the terms: 4 + 15x = 12 + -2 + -8x + 20x Combine like terms: 12 + -2 = 10 4 + 15x = 10 + -8x + 20x Combine like terms: -8x + 20x = 12x 4 + 15x = 10 + 12x Solving 4 + 15x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 15x + -12x = 10 + 12x + -12x Combine like terms: 15x + -12x = 3x 4 + 3x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 3x = 10 + 0 4 + 3x = 10 Add '-4' to each side of the equation. 4 + -4 + 3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 10 + -4 3x = 10 + -4 Combine like terms: 10 + -4 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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