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Simplifying -3x + -17 + 12x = 12 + (4x + -2) Reorder the terms: -17 + -3x + 12x = 12 + (4x + -2) Combine like terms: -3x + 12x = 9x -17 + 9x = 12 + (4x + -2) Reorder the terms: -17 + 9x = 12 + (-2 + 4x) Remove parenthesis around (-2 + 4x) -17 + 9x = 12 + -2 + 4x Combine like terms: 12 + -2 = 10 -17 + 9x = 10 + 4x Solving -17 + 9x = 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. -17 + 9x + -4x = 10 + 4x + -4x Combine like terms: 9x + -4x = 5x -17 + 5x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 5x = 10 + 0 -17 + 5x = 10 Add '17' to each side of the equation. -17 + 17 + 5x = 10 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 10 + 17 5x = 10 + 17 Combine like terms: 10 + 17 = 27 5x = 27 Divide each side by '5'. x = 5.4 Simplifying x = 5.4
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