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Simplifying 6x + 2 = 6 + -1(7x + -5) Reorder the terms: 2 + 6x = 6 + -1(7x + -5) Reorder the terms: 2 + 6x = 6 + -1(-5 + 7x) 2 + 6x = 6 + (-5 * -1 + 7x * -1) 2 + 6x = 6 + (5 + -7x) Combine like terms: 6 + 5 = 11 2 + 6x = 11 + -7x Solving 2 + 6x = 11 + -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 = 11 + -7x + 7x Combine like terms: 6x + 7x = 13x 2 + 13x = 11 + -7x + 7x Combine like terms: -7x + 7x = 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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