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Simplifying -84 = -7x + 2(x + -12) Reorder the terms: -84 = -7x + 2(-12 + x) -84 = -7x + (-12 * 2 + x * 2) -84 = -7x + (-24 + 2x) Reorder the terms: -84 = -24 + -7x + 2x Combine like terms: -7x + 2x = -5x -84 = -24 + -5x Solving -84 = -24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -84 + 5x = -24 + -5x + 5x Combine like terms: -5x + 5x = 0 -84 + 5x = -24 + 0 -84 + 5x = -24 Add '84' to each side of the equation. -84 + 84 + 5x = -24 + 84 Combine like terms: -84 + 84 = 0 0 + 5x = -24 + 84 5x = -24 + 84 Combine like terms: -24 + 84 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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