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