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Simplifying (5x + 3) = (6x + -5) Reorder the terms: (3 + 5x) = (6x + -5) Remove parenthesis around (3 + 5x) 3 + 5x = (6x + -5) Reorder the terms: 3 + 5x = (-5 + 6x) Remove parenthesis around (-5 + 6x) 3 + 5x = -5 + 6x Solving 3 + 5x = -5 + 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. 3 + 5x + -6x = -5 + 6x + -6x Combine like terms: 5x + -6x = -1x 3 + -1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -1x = -5 + 0 3 + -1x = -5 Add '-3' to each side of the equation. 3 + -3 + -1x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -5 + -3 -1x = -5 + -3 Combine like terms: -5 + -3 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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