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Simplifying 5x + -11 + 6x + 17 = 12x + -13 Reorder the terms: -11 + 17 + 5x + 6x = 12x + -13 Combine like terms: -11 + 17 = 6 6 + 5x + 6x = 12x + -13 Combine like terms: 5x + 6x = 11x 6 + 11x = 12x + -13 Reorder the terms: 6 + 11x = -13 + 12x Solving 6 + 11x = -13 + 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. 6 + 11x + -12x = -13 + 12x + -12x Combine like terms: 11x + -12x = -1x 6 + -1x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -1x = -13 + 0 6 + -1x = -13 Add '-6' to each side of the equation. 6 + -6 + -1x = -13 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -13 + -6 -1x = -13 + -6 Combine like terms: -13 + -6 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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