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Simplifying 7x + -1(9x + 17) = 7 + -1(4x + -5) Reorder the terms: 7x + -1(17 + 9x) = 7 + -1(4x + -5) 7x + (17 * -1 + 9x * -1) = 7 + -1(4x + -5) 7x + (-17 + -9x) = 7 + -1(4x + -5) Reorder the terms: -17 + 7x + -9x = 7 + -1(4x + -5) Combine like terms: 7x + -9x = -2x -17 + -2x = 7 + -1(4x + -5) Reorder the terms: -17 + -2x = 7 + -1(-5 + 4x) -17 + -2x = 7 + (-5 * -1 + 4x * -1) -17 + -2x = 7 + (5 + -4x) Combine like terms: 7 + 5 = 12 -17 + -2x = 12 + -4x Solving -17 + -2x = 12 + -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. -17 + -2x + 4x = 12 + -4x + 4x Combine like terms: -2x + 4x = 2x -17 + 2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 2x = 12 + 0 -17 + 2x = 12 Add '17' to each side of the equation. -17 + 17 + 2x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 12 + 17 2x = 12 + 17 Combine like terms: 12 + 17 = 29 2x = 29 Divide each side by '2'. x = 14.5 Simplifying x = 14.5
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