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Simplifying (x + 3) + (4x + -7) = 21 Reorder the terms: (3 + x) + (4x + -7) = 21 Remove parenthesis around (3 + x) 3 + x + (4x + -7) = 21 Reorder the terms: 3 + x + (-7 + 4x) = 21 Remove parenthesis around (-7 + 4x) 3 + x + -7 + 4x = 21 Reorder the terms: 3 + -7 + x + 4x = 21 Combine like terms: 3 + -7 = -4 -4 + x + 4x = 21 Combine like terms: x + 4x = 5x -4 + 5x = 21 Solving -4 + 5x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 21 + 4 5x = 21 + 4 Combine like terms: 21 + 4 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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