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Simplifying x + -84 = 7x + 24 Reorder the terms: -84 + x = 7x + 24 Reorder the terms: -84 + x = 24 + 7x Solving -84 + x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -84 + x + -7x = 24 + 7x + -7x Combine like terms: x + -7x = -6x -84 + -6x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -84 + -6x = 24 + 0 -84 + -6x = 24 Add '84' to each side of the equation. -84 + 84 + -6x = 24 + 84 Combine like terms: -84 + 84 = 0 0 + -6x = 24 + 84 -6x = 24 + 84 Combine like terms: 24 + 84 = 108 -6x = 108 Divide each side by '-6'. x = -18 Simplifying x = -18
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