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Simplifying -84 = (-4)(2x + 7) Reorder the terms: -84 = -4(7 + 2x) -84 = (7 * -4 + 2x * -4) -84 = (-28 + -8x) Solving -84 = -28 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -84 + 8x = -28 + -8x + 8x Combine like terms: -8x + 8x = 0 -84 + 8x = -28 + 0 -84 + 8x = -28 Add '84' to each side of the equation. -84 + 84 + 8x = -28 + 84 Combine like terms: -84 + 84 = 0 0 + 8x = -28 + 84 8x = -28 + 84 Combine like terms: -28 + 84 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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