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Simplifying 6x + 5 = 2x + 13 Reorder the terms: 5 + 6x = 2x + 13 Reorder the terms: 5 + 6x = 13 + 2x Solving 5 + 6x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 6x + -2x = 13 + 2x + -2x Combine like terms: 6x + -2x = 4x 5 + 4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 4x = 13 + 0 5 + 4x = 13 Add '-5' to each side of the equation. 5 + -5 + 4x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 13 + -5 4x = 13 + -5 Combine like terms: 13 + -5 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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