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Simplifying 7(x + 6) + 2 = -6(x + -7) + -9 Reorder the terms: 7(6 + x) + 2 = -6(x + -7) + -9 (6 * 7 + x * 7) + 2 = -6(x + -7) + -9 (42 + 7x) + 2 = -6(x + -7) + -9 Reorder the terms: 42 + 2 + 7x = -6(x + -7) + -9 Combine like terms: 42 + 2 = 44 44 + 7x = -6(x + -7) + -9 Reorder the terms: 44 + 7x = -6(-7 + x) + -9 44 + 7x = (-7 * -6 + x * -6) + -9 44 + 7x = (42 + -6x) + -9 Reorder the terms: 44 + 7x = 42 + -9 + -6x Combine like terms: 42 + -9 = 33 44 + 7x = 33 + -6x Solving 44 + 7x = 33 + -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. 44 + 7x + 6x = 33 + -6x + 6x Combine like terms: 7x + 6x = 13x 44 + 13x = 33 + -6x + 6x Combine like terms: -6x + 6x = 0 44 + 13x = 33 + 0 44 + 13x = 33 Add '-44' to each side of the equation. 44 + -44 + 13x = 33 + -44 Combine like terms: 44 + -44 = 0 0 + 13x = 33 + -44 13x = 33 + -44 Combine like terms: 33 + -44 = -11 13x = -11 Divide each side by '13'. x = -0.8461538462 Simplifying x = -0.8461538462
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