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Simplifying 6x + 9 = -42 + -7x Reorder the terms: 9 + 6x = -42 + -7x Solving 9 + 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. 9 + 6x + 7x = -42 + -7x + 7x Combine like terms: 6x + 7x = 13x 9 + 13x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 13x = -42 + 0 9 + 13x = -42 Add '-9' to each side of the equation. 9 + -9 + 13x = -42 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = -42 + -9 13x = -42 + -9 Combine like terms: -42 + -9 = -51 13x = -51 Divide each side by '13'. x = -3.923076923 Simplifying x = -3.923076923
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