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Simplifying 7(x + -5) + 9 = 5(x + -4) Reorder the terms: 7(-5 + x) + 9 = 5(x + -4) (-5 * 7 + x * 7) + 9 = 5(x + -4) (-35 + 7x) + 9 = 5(x + -4) Reorder the terms: -35 + 9 + 7x = 5(x + -4) Combine like terms: -35 + 9 = -26 -26 + 7x = 5(x + -4) Reorder the terms: -26 + 7x = 5(-4 + x) -26 + 7x = (-4 * 5 + x * 5) -26 + 7x = (-20 + 5x) Solving -26 + 7x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -26 + 7x + -5x = -20 + 5x + -5x Combine like terms: 7x + -5x = 2x -26 + 2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -26 + 2x = -20 + 0 -26 + 2x = -20 Add '26' to each side of the equation. -26 + 26 + 2x = -20 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = -20 + 26 2x = -20 + 26 Combine like terms: -20 + 26 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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