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Simplifying 3(4x + 2) + 5x = 30x Reorder the terms: 3(2 + 4x) + 5x = 30x (2 * 3 + 4x * 3) + 5x = 30x (6 + 12x) + 5x = 30x Combine like terms: 12x + 5x = 17x 6 + 17x = 30x Solving 6 + 17x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 6 + 17x + -30x = 30x + -30x Combine like terms: 17x + -30x = -13x 6 + -13x = 30x + -30x Combine like terms: 30x + -30x = 0 6 + -13x = 0 Add '-6' to each side of the equation. 6 + -6 + -13x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 0 + -6 -13x = 0 + -6 Combine like terms: 0 + -6 = -6 -13x = -6 Divide each side by '-13'. x = 0.4615384615 Simplifying x = 0.4615384615
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