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Simplifying -7(1x + 4) = -84 Reorder the terms: -7(4 + 1x) = -84 (4 * -7 + 1x * -7) = -84 (-28 + -7x) = -84 Solving -28 + -7x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -7x = -84 + 28 Combine like terms: -28 + 28 = 0 0 + -7x = -84 + 28 -7x = -84 + 28 Combine like terms: -84 + 28 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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