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Simplifying -6x + 42 = 6x + -42 Reorder the terms: 42 + -6x = 6x + -42 Reorder the terms: 42 + -6x = -42 + 6x Solving 42 + -6x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + -6x + -6x = -42 + 6x + -6x Combine like terms: -6x + -6x = -12x 42 + -12x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -12x = -42 + 0 42 + -12x = -42 Add '-42' to each side of the equation. 42 + -42 + -12x = -42 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = -42 + -42 -12x = -42 + -42 Combine like terms: -42 + -42 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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