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Simplifying 14x + -420 = 6x + -12 + -4x Reorder the terms: -420 + 14x = 6x + -12 + -4x Reorder the terms: -420 + 14x = -12 + 6x + -4x Combine like terms: 6x + -4x = 2x -420 + 14x = -12 + 2x Solving -420 + 14x = -12 + 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. -420 + 14x + -2x = -12 + 2x + -2x Combine like terms: 14x + -2x = 12x -420 + 12x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -420 + 12x = -12 + 0 -420 + 12x = -12 Add '420' to each side of the equation. -420 + 420 + 12x = -12 + 420 Combine like terms: -420 + 420 = 0 0 + 12x = -12 + 420 12x = -12 + 420 Combine like terms: -12 + 420 = 408 12x = 408 Divide each side by '12'. x = 34 Simplifying x = 34
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