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Simplifying 2x + -3 = 7x + 42 Reorder the terms: -3 + 2x = 7x + 42 Reorder the terms: -3 + 2x = 42 + 7x Solving -3 + 2x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 2x + -7x = 42 + 7x + -7x Combine like terms: 2x + -7x = -5x -3 + -5x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -5x = 42 + 0 -3 + -5x = 42 Add '3' to each side of the equation. -3 + 3 + -5x = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 42 + 3 -5x = 42 + 3 Combine like terms: 42 + 3 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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