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Simplifying 7x + 7 + -1 = 9 + -6x + 10 Reorder the terms: 7 + -1 + 7x = 9 + -6x + 10 Combine like terms: 7 + -1 = 6 6 + 7x = 9 + -6x + 10 Reorder the terms: 6 + 7x = 9 + 10 + -6x Combine like terms: 9 + 10 = 19 6 + 7x = 19 + -6x Solving 6 + 7x = 19 + -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. 6 + 7x + 6x = 19 + -6x + 6x Combine like terms: 7x + 6x = 13x 6 + 13x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 13x = 19 + 0 6 + 13x = 19 Add '-6' to each side of the equation. 6 + -6 + 13x = 19 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 19 + -6 13x = 19 + -6 Combine like terms: 19 + -6 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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