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Simplifying 3(2x + 3) = -6(-4 + 2x) + -5x Reorder the terms: 3(3 + 2x) = -6(-4 + 2x) + -5x (3 * 3 + 2x * 3) = -6(-4 + 2x) + -5x (9 + 6x) = -6(-4 + 2x) + -5x 9 + 6x = (-4 * -6 + 2x * -6) + -5x 9 + 6x = (24 + -12x) + -5x Combine like terms: -12x + -5x = -17x 9 + 6x = 24 + -17x Solving 9 + 6x = 24 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 9 + 6x + 17x = 24 + -17x + 17x Combine like terms: 6x + 17x = 23x 9 + 23x = 24 + -17x + 17x Combine like terms: -17x + 17x = 0 9 + 23x = 24 + 0 9 + 23x = 24 Add '-9' to each side of the equation. 9 + -9 + 23x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 23x = 24 + -9 23x = 24 + -9 Combine like terms: 24 + -9 = 15 23x = 15 Divide each side by '23'. x = 0.652173913 Simplifying x = 0.652173913
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