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Simplifying 7x + -3 = 4x + 42 Reorder the terms: -3 + 7x = 4x + 42 Reorder the terms: -3 + 7x = 42 + 4x Solving -3 + 7x = 42 + 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. -3 + 7x + -4x = 42 + 4x + -4x Combine like terms: 7x + -4x = 3x -3 + 3x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 3x = 42 + 0 -3 + 3x = 42 Add '3' to each side of the equation. -3 + 3 + 3x = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 42 + 3 3x = 42 + 3 Combine like terms: 42 + 3 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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