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Simplifying 13x + 16 = 6x + 117 Reorder the terms: 16 + 13x = 6x + 117 Reorder the terms: 16 + 13x = 117 + 6x Solving 16 + 13x = 117 + 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. 16 + 13x + -6x = 117 + 6x + -6x Combine like terms: 13x + -6x = 7x 16 + 7x = 117 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 7x = 117 + 0 16 + 7x = 117 Add '-16' to each side of the equation. 16 + -16 + 7x = 117 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 117 + -16 7x = 117 + -16 Combine like terms: 117 + -16 = 101 7x = 101 Divide each side by '7'. x = 14.42857143 Simplifying x = 14.42857143
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