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Simplifying x + 21 + 3x = -29 + -3x + -34 Reorder the terms: 21 + x + 3x = -29 + -3x + -34 Combine like terms: x + 3x = 4x 21 + 4x = -29 + -3x + -34 Reorder the terms: 21 + 4x = -29 + -34 + -3x Combine like terms: -29 + -34 = -63 21 + 4x = -63 + -3x Solving 21 + 4x = -63 + -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 + 4x + 3x = -63 + -3x + 3x Combine like terms: 4x + 3x = 7x 21 + 7x = -63 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + 7x = -63 + 0 21 + 7x = -63 Add '-21' to each side of the equation. 21 + -21 + 7x = -63 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = -63 + -21 7x = -63 + -21 Combine like terms: -63 + -21 = -84 7x = -84 Divide each side by '7'. x = -12 Simplifying x = -12
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