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Simplifying -14 + 4(2x + 7) + -1x = 42 Reorder the terms: -14 + 4(7 + 2x) + -1x = 42 -14 + (7 * 4 + 2x * 4) + -1x = 42 -14 + (28 + 8x) + -1x = 42 Combine like terms: -14 + 28 = 14 14 + 8x + -1x = 42 Combine like terms: 8x + -1x = 7x 14 + 7x = 42 Solving 14 + 7x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 42 + -14 7x = 42 + -14 Combine like terms: 42 + -14 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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