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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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