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Simplifying 3x + 42 + -4x = 2 + -5x + 4 Reorder the terms: 42 + 3x + -4x = 2 + -5x + 4 Combine like terms: 3x + -4x = -1x 42 + -1x = 2 + -5x + 4 Reorder the terms: 42 + -1x = 2 + 4 + -5x Combine like terms: 2 + 4 = 6 42 + -1x = 6 + -5x Solving 42 + -1x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 42 + -1x + 5x = 6 + -5x + 5x Combine like terms: -1x + 5x = 4x 42 + 4x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 42 + 4x = 6 + 0 42 + 4x = 6 Add '-42' to each side of the equation. 42 + -42 + 4x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 6 + -42 4x = 6 + -42 Combine like terms: 6 + -42 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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