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Simplifying 10x + 14 = 7x + 19 Reorder the terms: 14 + 10x = 7x + 19 Reorder the terms: 14 + 10x = 19 + 7x Solving 14 + 10x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 10x + -7x = 19 + 7x + -7x Combine like terms: 10x + -7x = 3x 14 + 3x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + 3x = 19 + 0 14 + 3x = 19 Add '-14' to each side of the equation. 14 + -14 + 3x = 19 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 19 + -14 3x = 19 + -14 Combine like terms: 19 + -14 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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