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Simplifying 5x + -42 = 2x + 3 Reorder the terms: -42 + 5x = 2x + 3 Reorder the terms: -42 + 5x = 3 + 2x Solving -42 + 5x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 5x + -2x = 3 + 2x + -2x Combine like terms: 5x + -2x = 3x -42 + 3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 3x = 3 + 0 -42 + 3x = 3 Add '42' to each side of the equation. -42 + 42 + 3x = 3 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = 3 + 42 3x = 3 + 42 Combine like terms: 3 + 42 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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