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Simplifying 7(x + -1) + -2 = 2x + 5(-2 + X) Reorder the terms: 7(-1 + x) + -2 = 2x + 5(-2 + X) (-1 * 7 + x * 7) + -2 = 2x + 5(-2 + X) (-7 + 7x) + -2 = 2x + 5(-2 + X) Reorder the terms: -7 + -2 + 7x = 2x + 5(-2 + X) Combine like terms: -7 + -2 = -9 -9 + 7x = 2x + 5(-2 + X) -9 + 7x = 2x + (-2 * 5 + X * 5) -9 + 7x = 2x + (-10 + 5X) Reorder the terms: -9 + 7x = -10 + 5X + 2x Solving -9 + 7x = -10 + 5X + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 7x + -2x = -10 + 5X + 2x + -2x Combine like terms: 7x + -2x = 5x -9 + 5x = -10 + 5X + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 5x = -10 + 5X + 0 -9 + 5x = -10 + 5X Add '9' to each side of the equation. -9 + 9 + 5x = -10 + 9 + 5X Combine like terms: -9 + 9 = 0 0 + 5x = -10 + 9 + 5X 5x = -10 + 9 + 5X Combine like terms: -10 + 9 = -1 5x = -1 + 5X Divide each side by '5'. x = -0.2 + X Simplifying x = -0.2 + X
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