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Simplifying 5x + 2 + -2x + -8 = 12 + -2x + -3 Reorder the terms: 2 + -8 + 5x + -2x = 12 + -2x + -3 Combine like terms: 2 + -8 = -6 -6 + 5x + -2x = 12 + -2x + -3 Combine like terms: 5x + -2x = 3x -6 + 3x = 12 + -2x + -3 Reorder the terms: -6 + 3x = 12 + -3 + -2x Combine like terms: 12 + -3 = 9 -6 + 3x = 9 + -2x Solving -6 + 3x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 3x + 2x = 9 + -2x + 2x Combine like terms: 3x + 2x = 5x -6 + 5x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5x = 9 + 0 -6 + 5x = 9 Add '6' to each side of the equation. -6 + 6 + 5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 9 + 6 5x = 9 + 6 Combine like terms: 9 + 6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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