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Simplifying -84 + 3x = 114 + -6x Solving -84 + 3x = 114 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -84 + 3x + 6x = 114 + -6x + 6x Combine like terms: 3x + 6x = 9x -84 + 9x = 114 + -6x + 6x Combine like terms: -6x + 6x = 0 -84 + 9x = 114 + 0 -84 + 9x = 114 Add '84' to each side of the equation. -84 + 84 + 9x = 114 + 84 Combine like terms: -84 + 84 = 0 0 + 9x = 114 + 84 9x = 114 + 84 Combine like terms: 114 + 84 = 198 9x = 198 Divide each side by '9'. x = 22 Simplifying x = 22
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