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Simplifying 13 + 12x = -6x + 49 Reorder the terms: 13 + 12x = 49 + -6x Solving 13 + 12x = 49 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 13 + 12x + 6x = 49 + -6x + 6x Combine like terms: 12x + 6x = 18x 13 + 18x = 49 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 18x = 49 + 0 13 + 18x = 49 Add '-13' to each side of the equation. 13 + -13 + 18x = 49 + -13 Combine like terms: 13 + -13 = 0 0 + 18x = 49 + -13 18x = 49 + -13 Combine like terms: 49 + -13 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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