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Simplifying 42(x + -1) = -7(6 + -1x) + 35 Reorder the terms: 42(-1 + x) = -7(6 + -1x) + 35 (-1 * 42 + x * 42) = -7(6 + -1x) + 35 (-42 + 42x) = -7(6 + -1x) + 35 -42 + 42x = (6 * -7 + -1x * -7) + 35 -42 + 42x = (-42 + 7x) + 35 Reorder the terms: -42 + 42x = -42 + 35 + 7x Combine like terms: -42 + 35 = -7 -42 + 42x = -7 + 7x Solving -42 + 42x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -42 + 42x + -7x = -7 + 7x + -7x Combine like terms: 42x + -7x = 35x -42 + 35x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + 35x = -7 + 0 -42 + 35x = -7 Add '42' to each side of the equation. -42 + 42 + 35x = -7 + 42 Combine like terms: -42 + 42 = 0 0 + 35x = -7 + 42 35x = -7 + 42 Combine like terms: -7 + 42 = 35 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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