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Simplifying 12 + 4x + -4 + 6x = 12x + -12 Reorder the terms: 12 + -4 + 4x + 6x = 12x + -12 Combine like terms: 12 + -4 = 8 8 + 4x + 6x = 12x + -12 Combine like terms: 4x + 6x = 10x 8 + 10x = 12x + -12 Reorder the terms: 8 + 10x = -12 + 12x Solving 8 + 10x = -12 + 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. 8 + 10x + -12x = -12 + 12x + -12x Combine like terms: 10x + -12x = -2x 8 + -2x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -2x = -12 + 0 8 + -2x = -12 Add '-8' to each side of the equation. 8 + -8 + -2x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -12 + -8 -2x = -12 + -8 Combine like terms: -12 + -8 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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