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Simplifying 2x + 45 = -9(x + 6) Reorder the terms: 45 + 2x = -9(x + 6) Reorder the terms: 45 + 2x = -9(6 + x) 45 + 2x = (6 * -9 + x * -9) 45 + 2x = (-54 + -9x) Solving 45 + 2x = -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 + 2x + 9x = -54 + -9x + 9x Combine like terms: 2x + 9x = 11x 45 + 11x = -54 + -9x + 9x Combine like terms: -9x + 9x = 0 45 + 11x = -54 + 0 45 + 11x = -54 Add '-45' to each side of the equation. 45 + -45 + 11x = -54 + -45 Combine like terms: 45 + -45 = 0 0 + 11x = -54 + -45 11x = -54 + -45 Combine like terms: -54 + -45 = -99 11x = -99 Divide each side by '11'. x = -9 Simplifying x = -9
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