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Simplifying 4(6x + 1) = 5(4x + -4) Reorder the terms: 4(1 + 6x) = 5(4x + -4) (1 * 4 + 6x * 4) = 5(4x + -4) (4 + 24x) = 5(4x + -4) Reorder the terms: 4 + 24x = 5(-4 + 4x) 4 + 24x = (-4 * 5 + 4x * 5) 4 + 24x = (-20 + 20x) Solving 4 + 24x = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 4 + 24x + -20x = -20 + 20x + -20x Combine like terms: 24x + -20x = 4x 4 + 4x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + 4x = -20 + 0 4 + 4x = -20 Add '-4' to each side of the equation. 4 + -4 + 4x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -20 + -4 4x = -20 + -4 Combine like terms: -20 + -4 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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