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Simplifying 51x + 18 = 29x + -114 Reorder the terms: 18 + 51x = 29x + -114 Reorder the terms: 18 + 51x = -114 + 29x Solving 18 + 51x = -114 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 18 + 51x + -29x = -114 + 29x + -29x Combine like terms: 51x + -29x = 22x 18 + 22x = -114 + 29x + -29x Combine like terms: 29x + -29x = 0 18 + 22x = -114 + 0 18 + 22x = -114 Add '-18' to each side of the equation. 18 + -18 + 22x = -114 + -18 Combine like terms: 18 + -18 = 0 0 + 22x = -114 + -18 22x = -114 + -18 Combine like terms: -114 + -18 = -132 22x = -132 Divide each side by '22'. x = -6 Simplifying x = -6
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