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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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