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Simplifying 19x + -47 = -21 + 14x + 24 Reorder the terms: -47 + 19x = -21 + 14x + 24 Reorder the terms: -47 + 19x = -21 + 24 + 14x Combine like terms: -21 + 24 = 3 -47 + 19x = 3 + 14x Solving -47 + 19x = 3 + 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 + 19x + -14x = 3 + 14x + -14x Combine like terms: 19x + -14x = 5x -47 + 5x = 3 + 14x + -14x Combine like terms: 14x + -14x = 0 -47 + 5x = 3 + 0 -47 + 5x = 3 Add '47' to each side of the equation. -47 + 47 + 5x = 3 + 47 Combine like terms: -47 + 47 = 0 0 + 5x = 3 + 47 5x = 3 + 47 Combine like terms: 3 + 47 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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