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Simplifying 3(x + 6) + -5(9x + -6) = 14 Reorder the terms: 3(6 + x) + -5(9x + -6) = 14 (6 * 3 + x * 3) + -5(9x + -6) = 14 (18 + 3x) + -5(9x + -6) = 14 Reorder the terms: 18 + 3x + -5(-6 + 9x) = 14 18 + 3x + (-6 * -5 + 9x * -5) = 14 18 + 3x + (30 + -45x) = 14 Reorder the terms: 18 + 30 + 3x + -45x = 14 Combine like terms: 18 + 30 = 48 48 + 3x + -45x = 14 Combine like terms: 3x + -45x = -42x 48 + -42x = 14 Solving 48 + -42x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -42x = 14 + -48 Combine like terms: 48 + -48 = 0 0 + -42x = 14 + -48 -42x = 14 + -48 Combine like terms: 14 + -48 = -34 -42x = -34 Divide each side by '-42'. x = 0.8095238095 Simplifying x = 0.8095238095
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