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Simplifying 2(x + -1) + 5(x + -1) = 7 Reorder the terms: 2(-1 + x) + 5(x + -1) = 7 (-1 * 2 + x * 2) + 5(x + -1) = 7 (-2 + 2x) + 5(x + -1) = 7 Reorder the terms: -2 + 2x + 5(-1 + x) = 7 -2 + 2x + (-1 * 5 + x * 5) = 7 -2 + 2x + (-5 + 5x) = 7 Reorder the terms: -2 + -5 + 2x + 5x = 7 Combine like terms: -2 + -5 = -7 -7 + 2x + 5x = 7 Combine like terms: 2x + 5x = 7x -7 + 7x = 7 Solving -7 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 7 + 7 7x = 7 + 7 Combine like terms: 7 + 7 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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