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Simplifying 6(4x + 1) = 2x + -7x Reorder the terms: 6(1 + 4x) = 2x + -7x (1 * 6 + 4x * 6) = 2x + -7x (6 + 24x) = 2x + -7x Combine like terms: 2x + -7x = -5x 6 + 24x = -5x Solving 6 + 24x = -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 + 24x + 5x = -5x + 5x Combine like terms: 24x + 5x = 29x 6 + 29x = -5x + 5x Combine like terms: -5x + 5x = 0 6 + 29x = 0 Add '-6' to each side of the equation. 6 + -6 + 29x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 29x = 0 + -6 29x = 0 + -6 Combine like terms: 0 + -6 = -6 29x = -6 Divide each side by '29'. x = -0.2068965517 Simplifying x = -0.2068965517
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