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Simplifying 21 = (x + 4) + (2x + -7) Reorder the terms: 21 = (4 + x) + (2x + -7) Remove parenthesis around (4 + x) 21 = 4 + x + (2x + -7) Reorder the terms: 21 = 4 + x + (-7 + 2x) Remove parenthesis around (-7 + 2x) 21 = 4 + x + -7 + 2x Reorder the terms: 21 = 4 + -7 + x + 2x Combine like terms: 4 + -7 = -3 21 = -3 + x + 2x Combine like terms: x + 2x = 3x 21 = -3 + 3x Solving 21 = -3 + 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. 21 + -3x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -3x = -3 + 0 21 + -3x = -3 Add '-21' to each side of the equation. 21 + -21 + -3x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -3 + -21 -3x = -3 + -21 Combine like terms: -3 + -21 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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