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Simplifying 9(2x + -3) = 2x + 21 Reorder the terms: 9(-3 + 2x) = 2x + 21 (-3 * 9 + 2x * 9) = 2x + 21 (-27 + 18x) = 2x + 21 Reorder the terms: -27 + 18x = 21 + 2x Solving -27 + 18x = 21 + 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. -27 + 18x + -2x = 21 + 2x + -2x Combine like terms: 18x + -2x = 16x -27 + 16x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 16x = 21 + 0 -27 + 16x = 21 Add '27' to each side of the equation. -27 + 27 + 16x = 21 + 27 Combine like terms: -27 + 27 = 0 0 + 16x = 21 + 27 16x = 21 + 27 Combine like terms: 21 + 27 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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