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Simplifying 6x + 6 + 5x + 13 = 12x + 8 Reorder the terms: 6 + 13 + 6x + 5x = 12x + 8 Combine like terms: 6 + 13 = 19 19 + 6x + 5x = 12x + 8 Combine like terms: 6x + 5x = 11x 19 + 11x = 12x + 8 Reorder the terms: 19 + 11x = 8 + 12x Solving 19 + 11x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 19 + 11x + -12x = 8 + 12x + -12x Combine like terms: 11x + -12x = -1x 19 + -1x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 19 + -1x = 8 + 0 19 + -1x = 8 Add '-19' to each side of the equation. 19 + -19 + -1x = 8 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 8 + -19 -1x = 8 + -19 Combine like terms: 8 + -19 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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