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Simplifying 7 + 7(x + -9) = 2 + -6(x + -7) Reorder the terms: 7 + 7(-9 + x) = 2 + -6(x + -7) 7 + (-9 * 7 + x * 7) = 2 + -6(x + -7) 7 + (-63 + 7x) = 2 + -6(x + -7) Combine like terms: 7 + -63 = -56 -56 + 7x = 2 + -6(x + -7) Reorder the terms: -56 + 7x = 2 + -6(-7 + x) -56 + 7x = 2 + (-7 * -6 + x * -6) -56 + 7x = 2 + (42 + -6x) Combine like terms: 2 + 42 = 44 -56 + 7x = 44 + -6x Solving -56 + 7x = 44 + -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. -56 + 7x + 6x = 44 + -6x + 6x Combine like terms: 7x + 6x = 13x -56 + 13x = 44 + -6x + 6x Combine like terms: -6x + 6x = 0 -56 + 13x = 44 + 0 -56 + 13x = 44 Add '56' to each side of the equation. -56 + 56 + 13x = 44 + 56 Combine like terms: -56 + 56 = 0 0 + 13x = 44 + 56 13x = 44 + 56 Combine like terms: 44 + 56 = 100 13x = 100 Divide each side by '13'. x = 7.692307692 Simplifying x = 7.692307692
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