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Simplifying 4(6x + 5) + -5(7x + -4) = x Reorder the terms: 4(5 + 6x) + -5(7x + -4) = x (5 * 4 + 6x * 4) + -5(7x + -4) = x (20 + 24x) + -5(7x + -4) = x Reorder the terms: 20 + 24x + -5(-4 + 7x) = x 20 + 24x + (-4 * -5 + 7x * -5) = x 20 + 24x + (20 + -35x) = x Reorder the terms: 20 + 20 + 24x + -35x = x Combine like terms: 20 + 20 = 40 40 + 24x + -35x = x Combine like terms: 24x + -35x = -11x 40 + -11x = x Solving 40 + -11x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 40 + -11x + -1x = x + -1x Combine like terms: -11x + -1x = -12x 40 + -12x = x + -1x Combine like terms: x + -1x = 0 40 + -12x = 0 Add '-40' to each side of the equation. 40 + -40 + -12x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -12x = 0 + -40 -12x = 0 + -40 Combine like terms: 0 + -40 = -40 -12x = -40 Divide each side by '-12'. x = 3.333333333 Simplifying x = 3.333333333
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