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Simplifying 2 + 6(x + -9) = 1 + -7(x + -6) Reorder the terms: 2 + 6(-9 + x) = 1 + -7(x + -6) 2 + (-9 * 6 + x * 6) = 1 + -7(x + -6) 2 + (-54 + 6x) = 1 + -7(x + -6) Combine like terms: 2 + -54 = -52 -52 + 6x = 1 + -7(x + -6) Reorder the terms: -52 + 6x = 1 + -7(-6 + x) -52 + 6x = 1 + (-6 * -7 + x * -7) -52 + 6x = 1 + (42 + -7x) Combine like terms: 1 + 42 = 43 -52 + 6x = 43 + -7x Solving -52 + 6x = 43 + -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. -52 + 6x + 7x = 43 + -7x + 7x Combine like terms: 6x + 7x = 13x -52 + 13x = 43 + -7x + 7x Combine like terms: -7x + 7x = 0 -52 + 13x = 43 + 0 -52 + 13x = 43 Add '52' to each side of the equation. -52 + 52 + 13x = 43 + 52 Combine like terms: -52 + 52 = 0 0 + 13x = 43 + 52 13x = 43 + 52 Combine like terms: 43 + 52 = 95 13x = 95 Divide each side by '13'. x = 7.307692308 Simplifying x = 7.307692308
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