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Simplifying 6(3x + -1) = 2x + 9 + -4x Reorder the terms: 6(-1 + 3x) = 2x + 9 + -4x (-1 * 6 + 3x * 6) = 2x + 9 + -4x (-6 + 18x) = 2x + 9 + -4x Reorder the terms: -6 + 18x = 9 + 2x + -4x Combine like terms: 2x + -4x = -2x -6 + 18x = 9 + -2x Solving -6 + 18x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 18x + 2x = 9 + -2x + 2x Combine like terms: 18x + 2x = 20x -6 + 20x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 20x = 9 + 0 -6 + 20x = 9 Add '6' to each side of the equation. -6 + 6 + 20x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = 9 + 6 20x = 9 + 6 Combine like terms: 9 + 6 = 15 20x = 15 Divide each side by '20'. x = 0.75 Simplifying x = 0.75
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