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Simplifying 4(x + -2) = 82 + -6x Reorder the terms: 4(-2 + x) = 82 + -6x (-2 * 4 + x * 4) = 82 + -6x (-8 + 4x) = 82 + -6x Solving -8 + 4x = 82 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + 4x + 6x = 82 + -6x + 6x Combine like terms: 4x + 6x = 10x -8 + 10x = 82 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 10x = 82 + 0 -8 + 10x = 82 Add '8' to each side of the equation. -8 + 8 + 10x = 82 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 82 + 8 10x = 82 + 8 Combine like terms: 82 + 8 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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