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Simplifying 13x + 101 = 7x + 65 Reorder the terms: 101 + 13x = 7x + 65 Reorder the terms: 101 + 13x = 65 + 7x Solving 101 + 13x = 65 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 101 + 13x + -7x = 65 + 7x + -7x Combine like terms: 13x + -7x = 6x 101 + 6x = 65 + 7x + -7x Combine like terms: 7x + -7x = 0 101 + 6x = 65 + 0 101 + 6x = 65 Add '-101' to each side of the equation. 101 + -101 + 6x = 65 + -101 Combine like terms: 101 + -101 = 0 0 + 6x = 65 + -101 6x = 65 + -101 Combine like terms: 65 + -101 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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