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Simplifying 4x + 37 = 14x + -83 Reorder the terms: 37 + 4x = 14x + -83 Reorder the terms: 37 + 4x = -83 + 14x Solving 37 + 4x = -83 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 37 + 4x + -14x = -83 + 14x + -14x Combine like terms: 4x + -14x = -10x 37 + -10x = -83 + 14x + -14x Combine like terms: 14x + -14x = 0 37 + -10x = -83 + 0 37 + -10x = -83 Add '-37' to each side of the equation. 37 + -37 + -10x = -83 + -37 Combine like terms: 37 + -37 = 0 0 + -10x = -83 + -37 -10x = -83 + -37 Combine like terms: -83 + -37 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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