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Simplifying -20 + 8x = -6(7x + -4) + 6 Reorder the terms: -20 + 8x = -6(-4 + 7x) + 6 -20 + 8x = (-4 * -6 + 7x * -6) + 6 -20 + 8x = (24 + -42x) + 6 Reorder the terms: -20 + 8x = 24 + 6 + -42x Combine like terms: 24 + 6 = 30 -20 + 8x = 30 + -42x Solving -20 + 8x = 30 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -20 + 8x + 42x = 30 + -42x + 42x Combine like terms: 8x + 42x = 50x -20 + 50x = 30 + -42x + 42x Combine like terms: -42x + 42x = 0 -20 + 50x = 30 + 0 -20 + 50x = 30 Add '20' to each side of the equation. -20 + 20 + 50x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 50x = 30 + 20 50x = 30 + 20 Combine like terms: 30 + 20 = 50 50x = 50 Divide each side by '50'. x = 1 Simplifying x = 1
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