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Simplifying (3x + 21) = (2x + -8) + 1 Reorder the terms: (21 + 3x) = (2x + -8) + 1 Remove parenthesis around (21 + 3x) 21 + 3x = (2x + -8) + 1 Reorder the terms: 21 + 3x = (-8 + 2x) + 1 Remove parenthesis around (-8 + 2x) 21 + 3x = -8 + 2x + 1 Reorder the terms: 21 + 3x = -8 + 1 + 2x Combine like terms: -8 + 1 = -7 21 + 3x = -7 + 2x Solving 21 + 3x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x 21 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 1x = -7 + 0 21 + 1x = -7 Add '-21' to each side of the equation. 21 + -21 + 1x = -7 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = -7 + -21 1x = -7 + -21 Combine like terms: -7 + -21 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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