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Simplifying 7x + 42 = 12x + -8 Reorder the terms: 42 + 7x = 12x + -8 Reorder the terms: 42 + 7x = -8 + 12x Solving 42 + 7x = -8 + 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. 42 + 7x + -12x = -8 + 12x + -12x Combine like terms: 7x + -12x = -5x 42 + -5x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -5x = -8 + 0 42 + -5x = -8 Add '-42' to each side of the equation. 42 + -42 + -5x = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = -8 + -42 -5x = -8 + -42 Combine like terms: -8 + -42 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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