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Simplifying 6(5x + 1) = 4x + -9x Reorder the terms: 6(1 + 5x) = 4x + -9x (1 * 6 + 5x * 6) = 4x + -9x (6 + 30x) = 4x + -9x Combine like terms: 4x + -9x = -5x 6 + 30x = -5x Solving 6 + 30x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 30x + 5x = -5x + 5x Combine like terms: 30x + 5x = 35x 6 + 35x = -5x + 5x Combine like terms: -5x + 5x = 0 6 + 35x = 0 Add '-6' to each side of the equation. 6 + -6 + 35x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 35x = 0 + -6 35x = 0 + -6 Combine like terms: 0 + -6 = -6 35x = -6 Divide each side by '35'. x = -0.1714285714 Simplifying x = -0.1714285714
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