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Simplifying 9(x + -2) + -2(x + -2) = 28 Reorder the terms: 9(-2 + x) + -2(x + -2) = 28 (-2 * 9 + x * 9) + -2(x + -2) = 28 (-18 + 9x) + -2(x + -2) = 28 Reorder the terms: -18 + 9x + -2(-2 + x) = 28 -18 + 9x + (-2 * -2 + x * -2) = 28 -18 + 9x + (4 + -2x) = 28 Reorder the terms: -18 + 4 + 9x + -2x = 28 Combine like terms: -18 + 4 = -14 -14 + 9x + -2x = 28 Combine like terms: 9x + -2x = 7x -14 + 7x = 28 Solving -14 + 7x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 28 + 14 7x = 28 + 14 Combine like terms: 28 + 14 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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