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Simplifying 3x + 42 + -4x = 3 + -6x + 4 Reorder the terms: 42 + 3x + -4x = 3 + -6x + 4 Combine like terms: 3x + -4x = -1x 42 + -1x = 3 + -6x + 4 Reorder the terms: 42 + -1x = 3 + 4 + -6x Combine like terms: 3 + 4 = 7 42 + -1x = 7 + -6x Solving 42 + -1x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 42 + -1x + 6x = 7 + -6x + 6x Combine like terms: -1x + 6x = 5x 42 + 5x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + 5x = 7 + 0 42 + 5x = 7 Add '-42' to each side of the equation. 42 + -42 + 5x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 7 + -42 5x = 7 + -42 Combine like terms: 7 + -42 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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