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Simplifying -6(1 + -8x) = 4(5x + -1) + -2 (1 * -6 + -8x * -6) = 4(5x + -1) + -2 (-6 + 48x) = 4(5x + -1) + -2 Reorder the terms: -6 + 48x = 4(-1 + 5x) + -2 -6 + 48x = (-1 * 4 + 5x * 4) + -2 -6 + 48x = (-4 + 20x) + -2 Reorder the terms: -6 + 48x = -4 + -2 + 20x Combine like terms: -4 + -2 = -6 -6 + 48x = -6 + 20x Add '6' to each side of the equation. -6 + 6 + 48x = -6 + 6 + 20x Combine like terms: -6 + 6 = 0 0 + 48x = -6 + 6 + 20x 48x = -6 + 6 + 20x Combine like terms: -6 + 6 = 0 48x = 0 + 20x 48x = 20x Solving 48x = 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. 48x + -20x = 20x + -20x Combine like terms: 48x + -20x = 28x 28x = 20x + -20x Combine like terms: 20x + -20x = 0 28x = 0 Divide each side by '28'. x = 0 Simplifying x = 0
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