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Simplifying 21x + -24 = 3(6x + -9) Reorder the terms: -24 + 21x = 3(6x + -9) Reorder the terms: -24 + 21x = 3(-9 + 6x) -24 + 21x = (-9 * 3 + 6x * 3) -24 + 21x = (-27 + 18x) Solving -24 + 21x = -27 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -24 + 21x + -18x = -27 + 18x + -18x Combine like terms: 21x + -18x = 3x -24 + 3x = -27 + 18x + -18x Combine like terms: 18x + -18x = 0 -24 + 3x = -27 + 0 -24 + 3x = -27 Add '24' to each side of the equation. -24 + 24 + 3x = -27 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -27 + 24 3x = -27 + 24 Combine like terms: -27 + 24 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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