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Simplifying -7(x + 6) + 369 = 19 + 14 Reorder the terms: -7(6 + x) + 369 = 19 + 14 (6 * -7 + x * -7) + 369 = 19 + 14 (-42 + -7x) + 369 = 19 + 14 Reorder the terms: -42 + 369 + -7x = 19 + 14 Combine like terms: -42 + 369 = 327 327 + -7x = 19 + 14 Combine like terms: 19 + 14 = 33 327 + -7x = 33 Solving 327 + -7x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-327' to each side of the equation. 327 + -327 + -7x = 33 + -327 Combine like terms: 327 + -327 = 0 0 + -7x = 33 + -327 -7x = 33 + -327 Combine like terms: 33 + -327 = -294 -7x = -294 Divide each side by '-7'. x = 42 Simplifying x = 42
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