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Simplifying 5x + -7 = 12x + 42 Reorder the terms: -7 + 5x = 12x + 42 Reorder the terms: -7 + 5x = 42 + 12x Solving -7 + 5x = 42 + 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. -7 + 5x + -12x = 42 + 12x + -12x Combine like terms: 5x + -12x = -7x -7 + -7x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -7x = 42 + 0 -7 + -7x = 42 Add '7' to each side of the equation. -7 + 7 + -7x = 42 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 42 + 7 -7x = 42 + 7 Combine like terms: 42 + 7 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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