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Simplifying 9(x + -1) + 3x + 2(x + 1) = 21 Reorder the terms: 9(-1 + x) + 3x + 2(x + 1) = 21 (-1 * 9 + x * 9) + 3x + 2(x + 1) = 21 (-9 + 9x) + 3x + 2(x + 1) = 21 Reorder the terms: -9 + 9x + 3x + 2(1 + x) = 21 -9 + 9x + 3x + (1 * 2 + x * 2) = 21 -9 + 9x + 3x + (2 + 2x) = 21 Reorder the terms: -9 + 2 + 9x + 3x + 2x = 21 Combine like terms: -9 + 2 = -7 -7 + 9x + 3x + 2x = 21 Combine like terms: 9x + 3x = 12x -7 + 12x + 2x = 21 Combine like terms: 12x + 2x = 14x -7 + 14x = 21 Solving -7 + 14x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 21 + 7 14x = 21 + 7 Combine like terms: 21 + 7 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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