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Simplifying 14x + -39 + -13x = 19 + -4x + 142 Reorder the terms: -39 + 14x + -13x = 19 + -4x + 142 Combine like terms: 14x + -13x = 1x -39 + 1x = 19 + -4x + 142 Reorder the terms: -39 + 1x = 19 + 142 + -4x Combine like terms: 19 + 142 = 161 -39 + 1x = 161 + -4x Solving -39 + 1x = 161 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -39 + 1x + 4x = 161 + -4x + 4x Combine like terms: 1x + 4x = 5x -39 + 5x = 161 + -4x + 4x Combine like terms: -4x + 4x = 0 -39 + 5x = 161 + 0 -39 + 5x = 161 Add '39' to each side of the equation. -39 + 39 + 5x = 161 + 39 Combine like terms: -39 + 39 = 0 0 + 5x = 161 + 39 5x = 161 + 39 Combine like terms: 161 + 39 = 200 5x = 200 Divide each side by '5'. x = 40 Simplifying x = 40
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