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Simplifying 1 + 2(x + -2) = 9 + -5(x + -1) Reorder the terms: 1 + 2(-2 + x) = 9 + -5(x + -1) 1 + (-2 * 2 + x * 2) = 9 + -5(x + -1) 1 + (-4 + 2x) = 9 + -5(x + -1) Combine like terms: 1 + -4 = -3 -3 + 2x = 9 + -5(x + -1) Reorder the terms: -3 + 2x = 9 + -5(-1 + x) -3 + 2x = 9 + (-1 * -5 + x * -5) -3 + 2x = 9 + (5 + -5x) Combine like terms: 9 + 5 = 14 -3 + 2x = 14 + -5x Solving -3 + 2x = 14 + -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. -3 + 2x + 5x = 14 + -5x + 5x Combine like terms: 2x + 5x = 7x -3 + 7x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 7x = 14 + 0 -3 + 7x = 14 Add '3' to each side of the equation. -3 + 3 + 7x = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 14 + 3 7x = 14 + 3 Combine like terms: 14 + 3 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429
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