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Simplifying 30(2x + -1) = 6(x + 2) + 3x Reorder the terms: 30(-1 + 2x) = 6(x + 2) + 3x (-1 * 30 + 2x * 30) = 6(x + 2) + 3x (-30 + 60x) = 6(x + 2) + 3x Reorder the terms: -30 + 60x = 6(2 + x) + 3x -30 + 60x = (2 * 6 + x * 6) + 3x -30 + 60x = (12 + 6x) + 3x Combine like terms: 6x + 3x = 9x -30 + 60x = 12 + 9x Solving -30 + 60x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -30 + 60x + -9x = 12 + 9x + -9x Combine like terms: 60x + -9x = 51x -30 + 51x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + 51x = 12 + 0 -30 + 51x = 12 Add '30' to each side of the equation. -30 + 30 + 51x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 51x = 12 + 30 51x = 12 + 30 Combine like terms: 12 + 30 = 42 51x = 42 Divide each side by '51'. x = 0.8235294118 Simplifying x = 0.8235294118
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