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Simplifying 6x + 13 = 12x + -41 Reorder the terms: 13 + 6x = 12x + -41 Reorder the terms: 13 + 6x = -41 + 12x Solving 13 + 6x = -41 + 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 = -41 + 12x + -12x Combine like terms: 6x + -12x = -6x 13 + -6x = -41 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -6x = -41 + 0 13 + -6x = -41 Add '-13' to each side of the equation. 13 + -13 + -6x = -41 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = -41 + -13 -6x = -41 + -13 Combine like terms: -41 + -13 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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