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Simplifying 6[4(5x + -6) + -4(3x + -5)] = 3x + 426 Reorder the terms: 6[4(-6 + 5x) + -4(3x + -5)] = 3x + 426 6[(-6 * 4 + 5x * 4) + -4(3x + -5)] = 3x + 426 6[(-24 + 20x) + -4(3x + -5)] = 3x + 426 Reorder the terms: 6[-24 + 20x + -4(-5 + 3x)] = 3x + 426 6[-24 + 20x + (-5 * -4 + 3x * -4)] = 3x + 426 6[-24 + 20x + (20 + -12x)] = 3x + 426 Reorder the terms: 6[-24 + 20 + 20x + -12x] = 3x + 426 Combine like terms: -24 + 20 = -4 6[-4 + 20x + -12x] = 3x + 426 Combine like terms: 20x + -12x = 8x 6[-4 + 8x] = 3x + 426 [-4 * 6 + 8x * 6] = 3x + 426 [-24 + 48x] = 3x + 426 Reorder the terms: -24 + 48x = 426 + 3x Solving -24 + 48x = 426 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 48x + -3x = 426 + 3x + -3x Combine like terms: 48x + -3x = 45x -24 + 45x = 426 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 45x = 426 + 0 -24 + 45x = 426 Add '24' to each side of the equation. -24 + 24 + 45x = 426 + 24 Combine like terms: -24 + 24 = 0 0 + 45x = 426 + 24 45x = 426 + 24 Combine like terms: 426 + 24 = 450 45x = 450 Divide each side by '45'. x = 10 Simplifying x = 10
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