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Simplifying x + 18 = 7x + -84 Reorder the terms: 18 + x = 7x + -84 Reorder the terms: 18 + x = -84 + 7x Solving 18 + x = -84 + 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. 18 + x + -7x = -84 + 7x + -7x Combine like terms: x + -7x = -6x 18 + -6x = -84 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -6x = -84 + 0 18 + -6x = -84 Add '-18' to each side of the equation. 18 + -18 + -6x = -84 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -84 + -18 -6x = -84 + -18 Combine like terms: -84 + -18 = -102 -6x = -102 Divide each side by '-6'. x = 17 Simplifying x = 17
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