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Simplifying 4(6x + 1) = -5(-1x + 4) + 7x Reorder the terms: 4(1 + 6x) = -5(-1x + 4) + 7x (1 * 4 + 6x * 4) = -5(-1x + 4) + 7x (4 + 24x) = -5(-1x + 4) + 7x Reorder the terms: 4 + 24x = -5(4 + -1x) + 7x 4 + 24x = (4 * -5 + -1x * -5) + 7x 4 + 24x = (-20 + 5x) + 7x Combine like terms: 5x + 7x = 12x 4 + 24x = -20 + 12x Solving 4 + 24x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 24x + -12x = -20 + 12x + -12x Combine like terms: 24x + -12x = 12x 4 + 12x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 12x = -20 + 0 4 + 12x = -20 Add '-4' to each side of the equation. 4 + -4 + 12x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = -20 + -4 12x = -20 + -4 Combine like terms: -20 + -4 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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