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Simplifying 2x + 3 + -17 = 10 + -4x Reorder the terms: 3 + -17 + 2x = 10 + -4x Combine like terms: 3 + -17 = -14 -14 + 2x = 10 + -4x Solving -14 + 2x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -14 + 2x + 4x = 10 + -4x + 4x Combine like terms: 2x + 4x = 6x -14 + 6x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 6x = 10 + 0 -14 + 6x = 10 Add '14' to each side of the equation. -14 + 14 + 6x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 10 + 14 6x = 10 + 14 Combine like terms: 10 + 14 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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