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Simplifying (7x + -21) + (x + 4) = 15 Reorder the terms: (-21 + 7x) + (x + 4) = 15 Remove parenthesis around (-21 + 7x) -21 + 7x + (x + 4) = 15 Reorder the terms: -21 + 7x + (4 + x) = 15 Remove parenthesis around (4 + x) -21 + 7x + 4 + x = 15 Reorder the terms: -21 + 4 + 7x + x = 15 Combine like terms: -21 + 4 = -17 -17 + 7x + x = 15 Combine like terms: 7x + x = 8x -17 + 8x = 15 Solving -17 + 8x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 15 + 17 8x = 15 + 17 Combine like terms: 15 + 17 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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