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Simplifying 7x + 6 = 4x + 48 Reorder the terms: 6 + 7x = 4x + 48 Reorder the terms: 6 + 7x = 48 + 4x Solving 6 + 7x = 48 + 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. 6 + 7x + -4x = 48 + 4x + -4x Combine like terms: 7x + -4x = 3x 6 + 3x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 3x = 48 + 0 6 + 3x = 48 Add '-6' to each side of the equation. 6 + -6 + 3x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 48 + -6 3x = 48 + -6 Combine like terms: 48 + -6 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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