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Simplifying -7(x + 6) + 247 = 10 + 27 Reorder the terms: -7(6 + x) + 247 = 10 + 27 (6 * -7 + x * -7) + 247 = 10 + 27 (-42 + -7x) + 247 = 10 + 27 Reorder the terms: -42 + 247 + -7x = 10 + 27 Combine like terms: -42 + 247 = 205 205 + -7x = 10 + 27 Combine like terms: 10 + 27 = 37 205 + -7x = 37 Solving 205 + -7x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-205' to each side of the equation. 205 + -205 + -7x = 37 + -205 Combine like terms: 205 + -205 = 0 0 + -7x = 37 + -205 -7x = 37 + -205 Combine like terms: 37 + -205 = -168 -7x = -168 Divide each side by '-7'. x = 24 Simplifying x = 24
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