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Simplifying 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 = 8x 5 + 8x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 8x = 13 + 0 5 + 8x = 13 Add '-5' to each side of the equation. 5 + -5 + 8x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 13 + -5 8x = 13 + -5 Combine like terms: 13 + -5 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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