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Simplifying 12x + -22 + 10x + -6 = 7x + 18 Reorder the terms: -22 + -6 + 12x + 10x = 7x + 18 Combine like terms: -22 + -6 = -28 -28 + 12x + 10x = 7x + 18 Combine like terms: 12x + 10x = 22x -28 + 22x = 7x + 18 Reorder the terms: -28 + 22x = 18 + 7x Solving -28 + 22x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -28 + 22x + -7x = 18 + 7x + -7x Combine like terms: 22x + -7x = 15x -28 + 15x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 -28 + 15x = 18 + 0 -28 + 15x = 18 Add '28' to each side of the equation. -28 + 28 + 15x = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 15x = 18 + 28 15x = 18 + 28 Combine like terms: 18 + 28 = 46 15x = 46 Divide each side by '15'. x = 3.066666667 Simplifying x = 3.066666667
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