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Simplifying 6x + 10 = 12x + -9 Reorder the terms: 10 + 6x = 12x + -9 Reorder the terms: 10 + 6x = -9 + 12x Solving 10 + 6x = -9 + 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. 10 + 6x + -12x = -9 + 12x + -12x Combine like terms: 6x + -12x = -6x 10 + -6x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -6x = -9 + 0 10 + -6x = -9 Add '-10' to each side of the equation. 10 + -10 + -6x = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -9 + -10 -6x = -9 + -10 Combine like terms: -9 + -10 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667
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