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Simplifying 6x + 7 = -5x + 106 Reorder the terms: 7 + 6x = -5x + 106 Reorder the terms: 7 + 6x = 106 + -5x Solving 7 + 6x = 106 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + 6x + 5x = 106 + -5x + 5x Combine like terms: 6x + 5x = 11x 7 + 11x = 106 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 11x = 106 + 0 7 + 11x = 106 Add '-7' to each side of the equation. 7 + -7 + 11x = 106 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 106 + -7 11x = 106 + -7 Combine like terms: 106 + -7 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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