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Simplifying (2x + 13) = (6.5x + 10) Reorder the terms: (13 + 2x) = (6.5x + 10) Remove parenthesis around (13 + 2x) 13 + 2x = (6.5x + 10) Reorder the terms: 13 + 2x = (10 + 6.5x) Remove parenthesis around (10 + 6.5x) 13 + 2x = 10 + 6.5x Solving 13 + 2x = 10 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. 13 + 2x + -6.5x = 10 + 6.5x + -6.5x Combine like terms: 2x + -6.5x = -4.5x 13 + -4.5x = 10 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 13 + -4.5x = 10 + 0.0 13 + -4.5x = 10 Add '-13' to each side of the equation. 13 + -13 + -4.5x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -4.5x = 10 + -13 -4.5x = 10 + -13 Combine like terms: 10 + -13 = -3 -4.5x = -3 Divide each side by '-4.5'. x = 0.6666666667 Simplifying x = 0.6666666667
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