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Simplifying (7x + -9) + -1(18 + -7) = 10x + 9 + -1(7x + 7) Reorder the terms: (-9 + 7x) + -1(18 + -7) = 10x + 9 + -1(7x + 7) Remove parenthesis around (-9 + 7x) -9 + 7x + -1(18 + -7) = 10x + 9 + -1(7x + 7) Combine like terms: 18 + -7 = 11 -9 + 7x + -1(11) = 10x + 9 + -1(7x + 7) Multiply -1 * 11 -9 + 7x + -11 = 10x + 9 + -1(7x + 7) Reorder the terms: -9 + -11 + 7x = 10x + 9 + -1(7x + 7) Combine like terms: -9 + -11 = -20 -20 + 7x = 10x + 9 + -1(7x + 7) Reorder the terms: -20 + 7x = 10x + 9 + -1(7 + 7x) -20 + 7x = 10x + 9 + (7 * -1 + 7x * -1) -20 + 7x = 10x + 9 + (-7 + -7x) Reorder the terms: -20 + 7x = 9 + -7 + 10x + -7x Combine like terms: 9 + -7 = 2 -20 + 7x = 2 + 10x + -7x Combine like terms: 10x + -7x = 3x -20 + 7x = 2 + 3x Solving -20 + 7x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 7x + -3x = 2 + 3x + -3x Combine like terms: 7x + -3x = 4x -20 + 4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 4x = 2 + 0 -20 + 4x = 2 Add '20' to each side of the equation. -20 + 20 + 4x = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 2 + 20 4x = 2 + 20 Combine like terms: 2 + 20 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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