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Simplifying -7 + 5x = -6x + 114 Reorder the terms: -7 + 5x = 114 + -6x Solving -7 + 5x = 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. -7 + 5x + 6x = 114 + -6x + 6x Combine like terms: 5x + 6x = 11x -7 + 11x = 114 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 11x = 114 + 0 -7 + 11x = 114 Add '7' to each side of the equation. -7 + 7 + 11x = 114 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 114 + 7 11x = 114 + 7 Combine like terms: 114 + 7 = 121 11x = 121 Divide each side by '11'. x = 11 Simplifying x = 11
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