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Simplifying 18x + -6x + 12 = 10x + 6 + 20 Reorder the terms: 12 + 18x + -6x = 10x + 6 + 20 Combine like terms: 18x + -6x = 12x 12 + 12x = 10x + 6 + 20 Reorder the terms: 12 + 12x = 6 + 20 + 10x Combine like terms: 6 + 20 = 26 12 + 12x = 26 + 10x Solving 12 + 12x = 26 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 12x + -10x = 26 + 10x + -10x Combine like terms: 12x + -10x = 2x 12 + 2x = 26 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 2x = 26 + 0 12 + 2x = 26 Add '-12' to each side of the equation. 12 + -12 + 2x = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 26 + -12 2x = 26 + -12 Combine like terms: 26 + -12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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