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Simplifying x + 6x + -5x = x + 114 Combine like terms: x + 6x = 7x 7x + -5x = x + 114 Combine like terms: 7x + -5x = 2x 2x = x + 114 Reorder the terms: 2x = 114 + x Solving 2x = 114 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2x + -1x = 114 + x + -1x Combine like terms: 2x + -1x = 1x 1x = 114 + x + -1x Combine like terms: x + -1x = 0 1x = 114 + 0 1x = 114 Divide each side by '1'. x = 114 Simplifying x = 114
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