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Simplifying 6(4x + 1) = 5x + -6x Reorder the terms: 6(1 + 4x) = 5x + -6x (1 * 6 + 4x * 6) = 5x + -6x (6 + 24x) = 5x + -6x Combine like terms: 5x + -6x = -1x 6 + 24x = -1x Solving 6 + 24x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 24x + x = -1x + x Combine like terms: 24x + x = 25x 6 + 25x = -1x + x Combine like terms: -1x + x = 0 6 + 25x = 0 Add '-6' to each side of the equation. 6 + -6 + 25x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 25x = 0 + -6 25x = 0 + -6 Combine like terms: 0 + -6 = -6 25x = -6 Divide each side by '25'. x = -0.24 Simplifying x = -0.24
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