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Simplifying 6(3x + -1) = 4(2x + 5) + -6 Reorder the terms: 6(-1 + 3x) = 4(2x + 5) + -6 (-1 * 6 + 3x * 6) = 4(2x + 5) + -6 (-6 + 18x) = 4(2x + 5) + -6 Reorder the terms: -6 + 18x = 4(5 + 2x) + -6 -6 + 18x = (5 * 4 + 2x * 4) + -6 -6 + 18x = (20 + 8x) + -6 Reorder the terms: -6 + 18x = 20 + -6 + 8x Combine like terms: 20 + -6 = 14 -6 + 18x = 14 + 8x Solving -6 + 18x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 18x + -8x = 14 + 8x + -8x Combine like terms: 18x + -8x = 10x -6 + 10x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 10x = 14 + 0 -6 + 10x = 14 Add '6' to each side of the equation. -6 + 6 + 10x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 14 + 6 10x = 14 + 6 Combine like terms: 14 + 6 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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