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Simplifying 6x + 2 = 9 + -1(7x + -4) Reorder the terms: 2 + 6x = 9 + -1(7x + -4) Reorder the terms: 2 + 6x = 9 + -1(-4 + 7x) 2 + 6x = 9 + (-4 * -1 + 7x * -1) 2 + 6x = 9 + (4 + -7x) Combine like terms: 9 + 4 = 13 2 + 6x = 13 + -7x Solving 2 + 6x = 13 + -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 = 13 + -7x + 7x Combine like terms: 6x + 7x = 13x 2 + 13x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + 13x = 13 + 0 2 + 13x = 13 Add '-2' to each side of the equation. 2 + -2 + 13x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 13 + -2 13x = 13 + -2 Combine like terms: 13 + -2 = 11 13x = 11 Divide each side by '13'. x = 0.8461538462 Simplifying x = 0.8461538462
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