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Simplifying 4(6 + x) + 3(2 + 3x) = 24 (6 * 4 + x * 4) + 3(2 + 3x) = 24 (24 + 4x) + 3(2 + 3x) = 24 24 + 4x + (2 * 3 + 3x * 3) = 24 24 + 4x + (6 + 9x) = 24 Reorder the terms: 24 + 6 + 4x + 9x = 24 Combine like terms: 24 + 6 = 30 30 + 4x + 9x = 24 Combine like terms: 4x + 9x = 13x 30 + 13x = 24 Solving 30 + 13x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 13x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 13x = 24 + -30 13x = 24 + -30 Combine like terms: 24 + -30 = -6 13x = -6 Divide each side by '13'. x = -0.4615384615 Simplifying x = -0.4615384615
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