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Simplifying 2 + 7(x + -1) = 2 + -6(x + -9) Reorder the terms: 2 + 7(-1 + x) = 2 + -6(x + -9) 2 + (-1 * 7 + x * 7) = 2 + -6(x + -9) 2 + (-7 + 7x) = 2 + -6(x + -9) Combine like terms: 2 + -7 = -5 -5 + 7x = 2 + -6(x + -9) Reorder the terms: -5 + 7x = 2 + -6(-9 + x) -5 + 7x = 2 + (-9 * -6 + x * -6) -5 + 7x = 2 + (54 + -6x) Combine like terms: 2 + 54 = 56 -5 + 7x = 56 + -6x Solving -5 + 7x = 56 + -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. -5 + 7x + 6x = 56 + -6x + 6x Combine like terms: 7x + 6x = 13x -5 + 13x = 56 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 13x = 56 + 0 -5 + 13x = 56 Add '5' to each side of the equation. -5 + 5 + 13x = 56 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 56 + 5 13x = 56 + 5 Combine like terms: 56 + 5 = 61 13x = 61 Divide each side by '13'. x = 4.692307692 Simplifying x = 4.692307692
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