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Simplifying 9(x + -7) + 7(-7x + -7) = -41(x + 3) + 6 Reorder the terms: 9(-7 + x) + 7(-7x + -7) = -41(x + 3) + 6 (-7 * 9 + x * 9) + 7(-7x + -7) = -41(x + 3) + 6 (-63 + 9x) + 7(-7x + -7) = -41(x + 3) + 6 Reorder the terms: -63 + 9x + 7(-7 + -7x) = -41(x + 3) + 6 -63 + 9x + (-7 * 7 + -7x * 7) = -41(x + 3) + 6 -63 + 9x + (-49 + -49x) = -41(x + 3) + 6 Reorder the terms: -63 + -49 + 9x + -49x = -41(x + 3) + 6 Combine like terms: -63 + -49 = -112 -112 + 9x + -49x = -41(x + 3) + 6 Combine like terms: 9x + -49x = -40x -112 + -40x = -41(x + 3) + 6 Reorder the terms: -112 + -40x = -41(3 + x) + 6 -112 + -40x = (3 * -41 + x * -41) + 6 -112 + -40x = (-123 + -41x) + 6 Reorder the terms: -112 + -40x = -123 + 6 + -41x Combine like terms: -123 + 6 = -117 -112 + -40x = -117 + -41x Solving -112 + -40x = -117 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. -112 + -40x + 41x = -117 + -41x + 41x Combine like terms: -40x + 41x = 1x -112 + 1x = -117 + -41x + 41x Combine like terms: -41x + 41x = 0 -112 + 1x = -117 + 0 -112 + 1x = -117 Add '112' to each side of the equation. -112 + 112 + 1x = -117 + 112 Combine like terms: -112 + 112 = 0 0 + 1x = -117 + 112 1x = -117 + 112 Combine like terms: -117 + 112 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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