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Simplifying 6x + 2 = -42 + -7x Reorder the terms: 2 + 6x = -42 + -7x Solving 2 + 6x = -42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2 + 6x + 7x = -42 + -7x + 7x Combine like terms: 6x + 7x = 13x 2 + 13x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + 13x = -42 + 0 2 + 13x = -42 Add '-2' to each side of the equation. 2 + -2 + 13x = -42 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = -42 + -2 13x = -42 + -2 Combine like terms: -42 + -2 = -44 13x = -44 Divide each side by '13'. x = -3.384615385 Simplifying x = -3.384615385
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