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Simplifying 6(3x + 4) = 5(x + 5) + -12 Reorder the terms: 6(4 + 3x) = 5(x + 5) + -12 (4 * 6 + 3x * 6) = 5(x + 5) + -12 (24 + 18x) = 5(x + 5) + -12 Reorder the terms: 24 + 18x = 5(5 + x) + -12 24 + 18x = (5 * 5 + x * 5) + -12 24 + 18x = (25 + 5x) + -12 Reorder the terms: 24 + 18x = 25 + -12 + 5x Combine like terms: 25 + -12 = 13 24 + 18x = 13 + 5x Solving 24 + 18x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 18x + -5x = 13 + 5x + -5x Combine like terms: 18x + -5x = 13x 24 + 13x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 13x = 13 + 0 24 + 13x = 13 Add '-24' to each side of the equation. 24 + -24 + 13x = 13 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = 13 + -24 13x = 13 + -24 Combine like terms: 13 + -24 = -11 13x = -11 Divide each side by '13'. x = -0.8461538462 Simplifying x = -0.8461538462
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