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Simplifying 12x + 10 = 9x + 10 + 18 Reorder the terms: 10 + 12x = 9x + 10 + 18 Reorder the terms: 10 + 12x = 10 + 18 + 9x Combine like terms: 10 + 18 = 28 10 + 12x = 28 + 9x Solving 10 + 12x = 28 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 12x + -9x = 28 + 9x + -9x Combine like terms: 12x + -9x = 3x 10 + 3x = 28 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 3x = 28 + 0 10 + 3x = 28 Add '-10' to each side of the equation. 10 + -10 + 3x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 28 + -10 3x = 28 + -10 Combine like terms: 28 + -10 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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