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Simplifying 6x + 10 + 9x = 12x + 14 Reorder the terms: 10 + 6x + 9x = 12x + 14 Combine like terms: 6x + 9x = 15x 10 + 15x = 12x + 14 Reorder the terms: 10 + 15x = 14 + 12x Solving 10 + 15x = 14 + 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 + 15x + -12x = 14 + 12x + -12x Combine like terms: 15x + -12x = 3x 10 + 3x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 3x = 14 + 0 10 + 3x = 14 Add '-10' to each side of the equation. 10 + -10 + 3x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 14 + -10 3x = 14 + -10 Combine like terms: 14 + -10 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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