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Simplifying 6x + -12 + -8x = 5x + -20 + -10 Reorder the terms: -12 + 6x + -8x = 5x + -20 + -10 Combine like terms: 6x + -8x = -2x -12 + -2x = 5x + -20 + -10 Reorder the terms: -12 + -2x = -20 + -10 + 5x Combine like terms: -20 + -10 = -30 -12 + -2x = -30 + 5x Solving -12 + -2x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -2x + -5x = -30 + 5x + -5x Combine like terms: -2x + -5x = -7x -12 + -7x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -7x = -30 + 0 -12 + -7x = -30 Add '12' to each side of the equation. -12 + 12 + -7x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -30 + 12 -7x = -30 + 12 Combine like terms: -30 + 12 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571
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