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Simplifying 8(x + -1) = -2x + 42 Reorder the terms: 8(-1 + x) = -2x + 42 (-1 * 8 + x * 8) = -2x + 42 (-8 + 8x) = -2x + 42 Reorder the terms: -8 + 8x = 42 + -2x Solving -8 + 8x = 42 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 8x + 2x = 42 + -2x + 2x Combine like terms: 8x + 2x = 10x -8 + 10x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 10x = 42 + 0 -8 + 10x = 42 Add '8' to each side of the equation. -8 + 8 + 10x = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 42 + 8 10x = 42 + 8 Combine like terms: 42 + 8 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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