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Simplifying 42 + 10x + -6 = 12x + -12 Reorder the terms: 42 + -6 + 10x = 12x + -12 Combine like terms: 42 + -6 = 36 36 + 10x = 12x + -12 Reorder the terms: 36 + 10x = -12 + 12x Solving 36 + 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. 36 + 10x + -12x = -12 + 12x + -12x Combine like terms: 10x + -12x = -2x 36 + -2x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + -2x = -12 + 0 36 + -2x = -12 Add '-36' to each side of the equation. 36 + -36 + -2x = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = -12 + -36 -2x = -12 + -36 Combine like terms: -12 + -36 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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