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Simplifying 45 = -3x + -6(x + 9) Reorder the terms: 45 = -3x + -6(9 + x) 45 = -3x + (9 * -6 + x * -6) 45 = -3x + (-54 + -6x) Reorder the terms: 45 = -54 + -3x + -6x Combine like terms: -3x + -6x = -9x 45 = -54 + -9x Solving 45 = -54 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 45 + 9x = -54 + -9x + 9x Combine like terms: -9x + 9x = 0 45 + 9x = -54 + 0 45 + 9x = -54 Add '-45' to each side of the equation. 45 + -45 + 9x = -54 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = -54 + -45 9x = -54 + -45 Combine like terms: -54 + -45 = -99 9x = -99 Divide each side by '9'. x = -11 Simplifying x = -11
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