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Simplifying 10x + 12 = 6x + 14 + 6x + 9 Reorder the terms: 12 + 10x = 6x + 14 + 6x + 9 Reorder the terms: 12 + 10x = 14 + 9 + 6x + 6x Combine like terms: 14 + 9 = 23 12 + 10x = 23 + 6x + 6x Combine like terms: 6x + 6x = 12x 12 + 10x = 23 + 12x Solving 12 + 10x = 23 + 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. 12 + 10x + -12x = 23 + 12x + -12x Combine like terms: 10x + -12x = -2x 12 + -2x = 23 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -2x = 23 + 0 12 + -2x = 23 Add '-12' to each side of the equation. 12 + -12 + -2x = 23 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 23 + -12 -2x = 23 + -12 Combine like terms: 23 + -12 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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