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Simplifying 5x + -42 = 12x Reorder the terms: -42 + 5x = 12x Solving -42 + 5x = 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 + 5x + -12x = 12x + -12x Combine like terms: 5x + -12x = -7x -42 + -7x = 12x + -12x Combine like terms: 12x + -12x = 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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