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Simplifying 3x + -12 + 2x + -5 = 4x + -2 Reorder the terms: -12 + -5 + 3x + 2x = 4x + -2 Combine like terms: -12 + -5 = -17 -17 + 3x + 2x = 4x + -2 Combine like terms: 3x + 2x = 5x -17 + 5x = 4x + -2 Reorder the terms: -17 + 5x = -2 + 4x Solving -17 + 5x = -2 + 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. -17 + 5x + -4x = -2 + 4x + -4x Combine like terms: 5x + -4x = 1x -17 + 1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 1x = -2 + 0 -17 + 1x = -2 Add '17' to each side of the equation. -17 + 17 + 1x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -2 + 17 1x = -2 + 17 Combine like terms: -2 + 17 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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