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Simplifying -3(2x + 9) = 21 + 10x Reorder the terms: -3(9 + 2x) = 21 + 10x (9 * -3 + 2x * -3) = 21 + 10x (-27 + -6x) = 21 + 10x Solving -27 + -6x = 21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -27 + -6x + -10x = 21 + 10x + -10x Combine like terms: -6x + -10x = -16x -27 + -16x = 21 + 10x + -10x Combine like terms: 10x + -10x = 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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