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Simplifying 7x + -1(9x + 7) = 9 + -1(4x + -5) Reorder the terms: 7x + -1(7 + 9x) = 9 + -1(4x + -5) 7x + (7 * -1 + 9x * -1) = 9 + -1(4x + -5) 7x + (-7 + -9x) = 9 + -1(4x + -5) Reorder the terms: -7 + 7x + -9x = 9 + -1(4x + -5) Combine like terms: 7x + -9x = -2x -7 + -2x = 9 + -1(4x + -5) Reorder the terms: -7 + -2x = 9 + -1(-5 + 4x) -7 + -2x = 9 + (-5 * -1 + 4x * -1) -7 + -2x = 9 + (5 + -4x) Combine like terms: 9 + 5 = 14 -7 + -2x = 14 + -4x Solving -7 + -2x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + -2x + 4x = 14 + -4x + 4x Combine like terms: -2x + 4x = 2x -7 + 2x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 2x = 14 + 0 -7 + 2x = 14 Add '7' to each side of the equation. -7 + 7 + 2x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 14 + 7 2x = 14 + 7 Combine like terms: 14 + 7 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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