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Simplifying 6x + -13 = 12x + 17 Reorder the terms: -13 + 6x = 12x + 17 Reorder the terms: -13 + 6x = 17 + 12x Solving -13 + 6x = 17 + 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. -13 + 6x + -12x = 17 + 12x + -12x Combine like terms: 6x + -12x = -6x -13 + -6x = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -6x = 17 + 0 -13 + -6x = 17 Add '13' to each side of the equation. -13 + 13 + -6x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 17 + 13 -6x = 17 + 13 Combine like terms: 17 + 13 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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