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Simplifying 4x + 47 = 14x + -83 Reorder the terms: 47 + 4x = 14x + -83 Reorder the terms: 47 + 4x = -83 + 14x Solving 47 + 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. 47 + 4x + -14x = -83 + 14x + -14x Combine like terms: 4x + -14x = -10x 47 + -10x = -83 + 14x + -14x Combine like terms: 14x + -14x = 0 47 + -10x = -83 + 0 47 + -10x = -83 Add '-47' to each side of the equation. 47 + -47 + -10x = -83 + -47 Combine like terms: 47 + -47 = 0 0 + -10x = -83 + -47 -10x = -83 + -47 Combine like terms: -83 + -47 = -130 -10x = -130 Divide each side by '-10'. x = 13 Simplifying x = 13
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