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Simplifying 6 + -7x = 5x + -42 Reorder the terms: 6 + -7x = -42 + 5x Solving 6 + -7x = -42 + 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. 6 + -7x + -5x = -42 + 5x + -5x Combine like terms: -7x + -5x = -12x 6 + -12x = -42 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -12x = -42 + 0 6 + -12x = -42 Add '-6' to each side of the equation. 6 + -6 + -12x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -42 + -6 -12x = -42 + -6 Combine like terms: -42 + -6 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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