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Simplifying 5(x + -2) = 7(2 + -1x) Reorder the terms: 5(-2 + x) = 7(2 + -1x) (-2 * 5 + x * 5) = 7(2 + -1x) (-10 + 5x) = 7(2 + -1x) -10 + 5x = (2 * 7 + -1x * 7) -10 + 5x = (14 + -7x) Solving -10 + 5x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 5x + 7x = 14 + -7x + 7x Combine like terms: 5x + 7x = 12x -10 + 12x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 12x = 14 + 0 -10 + 12x = 14 Add '10' to each side of the equation. -10 + 10 + 12x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 14 + 10 12x = 14 + 10 Combine like terms: 14 + 10 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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