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Simplifying -6(x + 8) + 365 = 11 + 18 Reorder the terms: -6(8 + x) + 365 = 11 + 18 (8 * -6 + x * -6) + 365 = 11 + 18 (-48 + -6x) + 365 = 11 + 18 Reorder the terms: -48 + 365 + -6x = 11 + 18 Combine like terms: -48 + 365 = 317 317 + -6x = 11 + 18 Combine like terms: 11 + 18 = 29 317 + -6x = 29 Solving 317 + -6x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-317' to each side of the equation. 317 + -317 + -6x = 29 + -317 Combine like terms: 317 + -317 = 0 0 + -6x = 29 + -317 -6x = 29 + -317 Combine like terms: 29 + -317 = -288 -6x = -288 Divide each side by '-6'. x = 48 Simplifying x = 48
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