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