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Simplifying 7x + -6 = 3x + 42 Reorder the terms: -6 + 7x = 3x + 42 Reorder the terms: -6 + 7x = 42 + 3x Solving -6 + 7x = 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. -6 + 7x + -3x = 42 + 3x + -3x Combine like terms: 7x + -3x = 4x -6 + 4x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 4x = 42 + 0 -6 + 4x = 42 Add '6' to each side of the equation. -6 + 6 + 4x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 42 + 6 4x = 42 + 6 Combine like terms: 42 + 6 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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