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Simplifying 7x + 2 = 6 + -1(2x + -7) Reorder the terms: 2 + 7x = 6 + -1(2x + -7) Reorder the terms: 2 + 7x = 6 + -1(-7 + 2x) 2 + 7x = 6 + (-7 * -1 + 2x * -1) 2 + 7x = 6 + (7 + -2x) Combine like terms: 6 + 7 = 13 2 + 7x = 13 + -2x Solving 2 + 7x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 7x + 2x = 13 + -2x + 2x Combine like terms: 7x + 2x = 9x 2 + 9x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 9x = 13 + 0 2 + 9x = 13 Add '-2' to each side of the equation. 2 + -2 + 9x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 13 + -2 9x = 13 + -2 Combine like terms: 13 + -2 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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