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Simplifying 3x + 7 + 2x + -4 = 2x + -21 Reorder the terms: 7 + -4 + 3x + 2x = 2x + -21 Combine like terms: 7 + -4 = 3 3 + 3x + 2x = 2x + -21 Combine like terms: 3x + 2x = 5x 3 + 5x = 2x + -21 Reorder the terms: 3 + 5x = -21 + 2x Solving 3 + 5x = -21 + 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. 3 + 5x + -2x = -21 + 2x + -2x Combine like terms: 5x + -2x = 3x 3 + 3x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 3x = -21 + 0 3 + 3x = -21 Add '-3' to each side of the equation. 3 + -3 + 3x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -21 + -3 3x = -21 + -3 Combine like terms: -21 + -3 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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