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Simplifying 6(2x + -1) = 6(x + 5) + 3x Reorder the terms: 6(-1 + 2x) = 6(x + 5) + 3x (-1 * 6 + 2x * 6) = 6(x + 5) + 3x (-6 + 12x) = 6(x + 5) + 3x Reorder the terms: -6 + 12x = 6(5 + x) + 3x -6 + 12x = (5 * 6 + x * 6) + 3x -6 + 12x = (30 + 6x) + 3x Combine like terms: 6x + 3x = 9x -6 + 12x = 30 + 9x Solving -6 + 12x = 30 + 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. -6 + 12x + -9x = 30 + 9x + -9x Combine like terms: 12x + -9x = 3x -6 + 3x = 30 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 3x = 30 + 0 -6 + 3x = 30 Add '6' to each side of the equation. -6 + 6 + 3x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 30 + 6 3x = 30 + 6 Combine like terms: 30 + 6 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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