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Simplifying 3x + 9x + 17 = 4x + -5 + 42 Reorder the terms: 17 + 3x + 9x = 4x + -5 + 42 Combine like terms: 3x + 9x = 12x 17 + 12x = 4x + -5 + 42 Reorder the terms: 17 + 12x = -5 + 42 + 4x Combine like terms: -5 + 42 = 37 17 + 12x = 37 + 4x Solving 17 + 12x = 37 + 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 + 12x + -4x = 37 + 4x + -4x Combine like terms: 12x + -4x = 8x 17 + 8x = 37 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 8x = 37 + 0 17 + 8x = 37 Add '-17' to each side of the equation. 17 + -17 + 8x = 37 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 37 + -17 8x = 37 + -17 Combine like terms: 37 + -17 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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