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Simplifying 3x + 24 = -6(6 + -3x) + 5x Reorder the terms: 24 + 3x = -6(6 + -3x) + 5x 24 + 3x = (6 * -6 + -3x * -6) + 5x 24 + 3x = (-36 + 18x) + 5x Combine like terms: 18x + 5x = 23x 24 + 3x = -36 + 23x Solving 24 + 3x = -36 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 24 + 3x + -23x = -36 + 23x + -23x Combine like terms: 3x + -23x = -20x 24 + -20x = -36 + 23x + -23x Combine like terms: 23x + -23x = 0 24 + -20x = -36 + 0 24 + -20x = -36 Add '-24' to each side of the equation. 24 + -24 + -20x = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -20x = -36 + -24 -20x = -36 + -24 Combine like terms: -36 + -24 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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