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Simplifying 7(x + -2) = 3(2 + -1x) Reorder the terms: 7(-2 + x) = 3(2 + -1x) (-2 * 7 + x * 7) = 3(2 + -1x) (-14 + 7x) = 3(2 + -1x) -14 + 7x = (2 * 3 + -1x * 3) -14 + 7x = (6 + -3x) Solving -14 + 7x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 7x + 3x = 6 + -3x + 3x Combine like terms: 7x + 3x = 10x -14 + 10x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 10x = 6 + 0 -14 + 10x = 6 Add '14' to each side of the equation. -14 + 14 + 10x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = 6 + 14 10x = 6 + 14 Combine like terms: 6 + 14 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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