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Simplifying 7(x + -4) = -3x + 82 Reorder the terms: 7(-4 + x) = -3x + 82 (-4 * 7 + x * 7) = -3x + 82 (-28 + 7x) = -3x + 82 Reorder the terms: -28 + 7x = 82 + -3x Solving -28 + 7x = 82 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + 7x + 3x = 82 + -3x + 3x Combine like terms: 7x + 3x = 10x -28 + 10x = 82 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 10x = 82 + 0 -28 + 10x = 82 Add '28' to each side of the equation. -28 + 28 + 10x = 82 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = 82 + 28 10x = 82 + 28 Combine like terms: 82 + 28 = 110 10x = 110 Divide each side by '10'. x = 11 Simplifying x = 11
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