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Simplifying 6x + 5 + 6x + 5 = 13x + 8 Reorder the terms: 5 + 5 + 6x + 6x = 13x + 8 Combine like terms: 5 + 5 = 10 10 + 6x + 6x = 13x + 8 Combine like terms: 6x + 6x = 12x 10 + 12x = 13x + 8 Reorder the terms: 10 + 12x = 8 + 13x Solving 10 + 12x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 10 + 12x + -13x = 8 + 13x + -13x Combine like terms: 12x + -13x = -1x 10 + -1x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 10 + -1x = 8 + 0 10 + -1x = 8 Add '-10' to each side of the equation. 10 + -10 + -1x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 8 + -10 -1x = 8 + -10 Combine like terms: 8 + -10 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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