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Simplifying 10x + -2 = 5 + -5x + 23 Reorder the terms: -2 + 10x = 5 + -5x + 23 Reorder the terms: -2 + 10x = 5 + 23 + -5x Combine like terms: 5 + 23 = 28 -2 + 10x = 28 + -5x Solving -2 + 10x = 28 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + 10x + 5x = 28 + -5x + 5x Combine like terms: 10x + 5x = 15x -2 + 15x = 28 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 15x = 28 + 0 -2 + 15x = 28 Add '2' to each side of the equation. -2 + 2 + 15x = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 15x = 28 + 2 15x = 28 + 2 Combine like terms: 28 + 2 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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