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Simplifying -6(x + 9) + -45 = 7 + -58 Reorder the terms: -6(9 + x) + -45 = 7 + -58 (9 * -6 + x * -6) + -45 = 7 + -58 (-54 + -6x) + -45 = 7 + -58 Reorder the terms: -54 + -45 + -6x = 7 + -58 Combine like terms: -54 + -45 = -99 -99 + -6x = 7 + -58 Combine like terms: 7 + -58 = -51 -99 + -6x = -51 Solving -99 + -6x = -51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '99' to each side of the equation. -99 + 99 + -6x = -51 + 99 Combine like terms: -99 + 99 = 0 0 + -6x = -51 + 99 -6x = -51 + 99 Combine like terms: -51 + 99 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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