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Simplifying 7x + 2 = 9 + -1(6x + -2) Reorder the terms: 2 + 7x = 9 + -1(6x + -2) Reorder the terms: 2 + 7x = 9 + -1(-2 + 6x) 2 + 7x = 9 + (-2 * -1 + 6x * -1) 2 + 7x = 9 + (2 + -6x) Combine like terms: 9 + 2 = 11 2 + 7x = 11 + -6x Solving 2 + 7x = 11 + -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. 2 + 7x + 6x = 11 + -6x + 6x Combine like terms: 7x + 6x = 13x 2 + 13x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 13x = 11 + 0 2 + 13x = 11 Add '-2' to each side of the equation. 2 + -2 + 13x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 11 + -2 13x = 11 + -2 Combine like terms: 11 + -2 = 9 13x = 9 Divide each side by '13'. x = 0.6923076923 Simplifying x = 0.6923076923
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