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Simplifying 7(x + -2) = 2(5 + -1x) Reorder the terms: 7(-2 + x) = 2(5 + -1x) (-2 * 7 + x * 7) = 2(5 + -1x) (-14 + 7x) = 2(5 + -1x) -14 + 7x = (5 * 2 + -1x * 2) -14 + 7x = (10 + -2x) Solving -14 + 7x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + 7x + 2x = 10 + -2x + 2x Combine like terms: 7x + 2x = 9x -14 + 9x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 9x = 10 + 0 -14 + 9x = 10 Add '14' to each side of the equation. -14 + 14 + 9x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 10 + 14 9x = 10 + 14 Combine like terms: 10 + 14 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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