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Simplifying 5x + 2 + -3x = -3x + 42 Reorder the terms: 2 + 5x + -3x = -3x + 42 Combine like terms: 5x + -3x = 2x 2 + 2x = -3x + 42 Reorder the terms: 2 + 2x = 42 + -3x Solving 2 + 2x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 2x + 3x = 42 + -3x + 3x Combine like terms: 2x + 3x = 5x 2 + 5x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 5x = 42 + 0 2 + 5x = 42 Add '-2' to each side of the equation. 2 + -2 + 5x = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 42 + -2 5x = 42 + -2 Combine like terms: 42 + -2 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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