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Simplifying -5x + 12x + 9 = 4x + 42 Reorder the terms: 9 + -5x + 12x = 4x + 42 Combine like terms: -5x + 12x = 7x 9 + 7x = 4x + 42 Reorder the terms: 9 + 7x = 42 + 4x Solving 9 + 7x = 42 + 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. 9 + 7x + -4x = 42 + 4x + -4x Combine like terms: 7x + -4x = 3x 9 + 3x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 3x = 42 + 0 9 + 3x = 42 Add '-9' to each side of the equation. 9 + -9 + 3x = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 42 + -9 3x = 42 + -9 Combine like terms: 42 + -9 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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