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Simplifying 4x + 14 = -3x + -21 Reorder the terms: 14 + 4x = -3x + -21 Reorder the terms: 14 + 4x = -21 + -3x Solving 14 + 4x = -21 + -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. 14 + 4x + 3x = -21 + -3x + 3x Combine like terms: 4x + 3x = 7x 14 + 7x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 7x = -21 + 0 14 + 7x = -21 Add '-14' to each side of the equation. 14 + -14 + 7x = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = -21 + -14 7x = -21 + -14 Combine like terms: -21 + -14 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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