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Simplifying 2 + 2(x + -7) = 1 + -9(x + -9) Reorder the terms: 2 + 2(-7 + x) = 1 + -9(x + -9) 2 + (-7 * 2 + x * 2) = 1 + -9(x + -9) 2 + (-14 + 2x) = 1 + -9(x + -9) Combine like terms: 2 + -14 = -12 -12 + 2x = 1 + -9(x + -9) Reorder the terms: -12 + 2x = 1 + -9(-9 + x) -12 + 2x = 1 + (-9 * -9 + x * -9) -12 + 2x = 1 + (81 + -9x) Combine like terms: 1 + 81 = 82 -12 + 2x = 82 + -9x Solving -12 + 2x = 82 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -12 + 2x + 9x = 82 + -9x + 9x Combine like terms: 2x + 9x = 11x -12 + 11x = 82 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 11x = 82 + 0 -12 + 11x = 82 Add '12' to each side of the equation. -12 + 12 + 11x = 82 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 82 + 12 11x = 82 + 12 Combine like terms: 82 + 12 = 94 11x = 94 Divide each side by '11'. x = 8.545454545 Simplifying x = 8.545454545
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