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Simplifying 7x + -1(14 + -1(2x + 5)) = 18 + -1(3 * 6 + (15 + -4 * 6)) Reorder the terms: 7x + -1(14 + -1(5 + 2x)) = 18 + -1(3 * 6 + (15 + -4 * 6)) 7x + -1(14 + (5 * -1 + 2x * -1)) = 18 + -1(3 * 6 + (15 + -4 * 6)) 7x + -1(14 + (-5 + -2x)) = 18 + -1(3 * 6 + (15 + -4 * 6)) Combine like terms: 14 + -5 = 9 7x + -1(9 + -2x) = 18 + -1(3 * 6 + (15 + -4 * 6)) 7x + (9 * -1 + -2x * -1) = 18 + -1(3 * 6 + (15 + -4 * 6)) 7x + (-9 + 2x) = 18 + -1(3 * 6 + (15 + -4 * 6)) Reorder the terms: -9 + 7x + 2x = 18 + -1(3 * 6 + (15 + -4 * 6)) Combine like terms: 7x + 2x = 9x -9 + 9x = 18 + -1(3 * 6 + (15 + -4 * 6)) Multiply 3 * 6 -9 + 9x = 18 + -1(18 + (15 + -4 * 6)) Multiply -4 * 6 -9 + 9x = 18 + -1(18 + (15 + -24)) Combine like terms: 15 + -24 = -9 -9 + 9x = 18 + -1(18 + (-9)) -9 + 9x = 18 + -1(18 + -9) Combine like terms: 18 + -9 = 9 -9 + 9x = 18 + -1(9) Multiply -1 * 9 -9 + 9x = 18 + -9 Combine like terms: 18 + -9 = 9 -9 + 9x = 9 Solving -9 + 9x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 9x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 9 + 9 9x = 9 + 9 Combine like terms: 9 + 9 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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