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Simplifying 7x + 19 = 14x + 38 Reorder the terms: 19 + 7x = 14x + 38 Reorder the terms: 19 + 7x = 38 + 14x Solving 19 + 7x = 38 + 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. 19 + 7x + -14x = 38 + 14x + -14x Combine like terms: 7x + -14x = -7x 19 + -7x = 38 + 14x + -14x Combine like terms: 14x + -14x = 0 19 + -7x = 38 + 0 19 + -7x = 38 Add '-19' to each side of the equation. 19 + -19 + -7x = 38 + -19 Combine like terms: 19 + -19 = 0 0 + -7x = 38 + -19 -7x = 38 + -19 Combine like terms: 38 + -19 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714
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