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Simplifying 4x + -165 = -5x + 42 Reorder the terms: -165 + 4x = -5x + 42 Reorder the terms: -165 + 4x = 42 + -5x Solving -165 + 4x = 42 + -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. -165 + 4x + 5x = 42 + -5x + 5x Combine like terms: 4x + 5x = 9x -165 + 9x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -165 + 9x = 42 + 0 -165 + 9x = 42 Add '165' to each side of the equation. -165 + 165 + 9x = 42 + 165 Combine like terms: -165 + 165 = 0 0 + 9x = 42 + 165 9x = 42 + 165 Combine like terms: 42 + 165 = 207 9x = 207 Divide each side by '9'. x = 23 Simplifying x = 23
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