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Simplifying 5x + 42 = 6 + -4x Reorder the terms: 42 + 5x = 6 + -4x Solving 42 + 5x = 6 + -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. 42 + 5x + 4x = 6 + -4x + 4x Combine like terms: 5x + 4x = 9x 42 + 9x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 42 + 9x = 6 + 0 42 + 9x = 6 Add '-42' to each side of the equation. 42 + -42 + 9x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = 6 + -42 9x = 6 + -42 Combine like terms: 6 + -42 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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