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Simplifying 2 + 7(x + -4) = 9 + -5(x + -2) Reorder the terms: 2 + 7(-4 + x) = 9 + -5(x + -2) 2 + (-4 * 7 + x * 7) = 9 + -5(x + -2) 2 + (-28 + 7x) = 9 + -5(x + -2) Combine like terms: 2 + -28 = -26 -26 + 7x = 9 + -5(x + -2) Reorder the terms: -26 + 7x = 9 + -5(-2 + x) -26 + 7x = 9 + (-2 * -5 + x * -5) -26 + 7x = 9 + (10 + -5x) Combine like terms: 9 + 10 = 19 -26 + 7x = 19 + -5x Solving -26 + 7x = 19 + -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 = 19 + -5x + 5x Combine like terms: 7x + 5x = 12x -26 + 12x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -26 + 12x = 19 + 0 -26 + 12x = 19 Add '26' to each side of the equation. -26 + 26 + 12x = 19 + 26 Combine like terms: -26 + 26 = 0 0 + 12x = 19 + 26 12x = 19 + 26 Combine like terms: 19 + 26 = 45 12x = 45 Divide each side by '12'. x = 3.75 Simplifying x = 3.75
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