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Simplifying 2x + 14 = 4(3 + -7x) + 7 Reorder the terms: 14 + 2x = 4(3 + -7x) + 7 14 + 2x = (3 * 4 + -7x * 4) + 7 14 + 2x = (12 + -28x) + 7 Reorder the terms: 14 + 2x = 12 + 7 + -28x Combine like terms: 12 + 7 = 19 14 + 2x = 19 + -28x Solving 14 + 2x = 19 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 14 + 2x + 28x = 19 + -28x + 28x Combine like terms: 2x + 28x = 30x 14 + 30x = 19 + -28x + 28x Combine like terms: -28x + 28x = 0 14 + 30x = 19 + 0 14 + 30x = 19 Add '-14' to each side of the equation. 14 + -14 + 30x = 19 + -14 Combine like terms: 14 + -14 = 0 0 + 30x = 19 + -14 30x = 19 + -14 Combine like terms: 19 + -14 = 5 30x = 5 Divide each side by '30'. x = 0.1666666667 Simplifying x = 0.1666666667
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