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Simplifying -12x + 42 = -5x Reorder the terms: 42 + -12x = -5x Solving 42 + -12x = -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. 42 + -12x + 5x = -5x + 5x Combine like terms: -12x + 5x = -7x 42 + -7x = -5x + 5x Combine like terms: -5x + 5x = 0 42 + -7x = 0 Add '-42' to each side of the equation. 42 + -42 + -7x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 0 + -42 -7x = 0 + -42 Combine like terms: 0 + -42 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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