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Simplifying 5x + 2 = 101 + -6x Reorder the terms: 2 + 5x = 101 + -6x Solving 2 + 5x = 101 + -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. 2 + 5x + 6x = 101 + -6x + 6x Combine like terms: 5x + 6x = 11x 2 + 11x = 101 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 11x = 101 + 0 2 + 11x = 101 Add '-2' to each side of the equation. 2 + -2 + 11x = 101 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 101 + -2 11x = 101 + -2 Combine like terms: 101 + -2 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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