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Simplifying 10x + 4 + 2x + -6 = 6x + 28 Reorder the terms: 4 + -6 + 10x + 2x = 6x + 28 Combine like terms: 4 + -6 = -2 -2 + 10x + 2x = 6x + 28 Combine like terms: 10x + 2x = 12x -2 + 12x = 6x + 28 Reorder the terms: -2 + 12x = 28 + 6x Solving -2 + 12x = 28 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 12x + -6x = 28 + 6x + -6x Combine like terms: 12x + -6x = 6x -2 + 6x = 28 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 6x = 28 + 0 -2 + 6x = 28 Add '2' to each side of the equation. -2 + 2 + 6x = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 28 + 2 6x = 28 + 2 Combine like terms: 28 + 2 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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