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Simplifying 7x + -1 = 5(x + -2) Reorder the terms: -1 + 7x = 5(x + -2) Reorder the terms: -1 + 7x = 5(-2 + x) -1 + 7x = (-2 * 5 + x * 5) -1 + 7x = (-10 + 5x) Solving -1 + 7x = -10 + 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. -1 + 7x + -5x = -10 + 5x + -5x Combine like terms: 7x + -5x = 2x -1 + 2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 2x = -10 + 0 -1 + 2x = -10 Add '1' to each side of the equation. -1 + 1 + 2x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -10 + 1 2x = -10 + 1 Combine like terms: -10 + 1 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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