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Simplifying 6(x + 9) = -5x + -23 Reorder the terms: 6(9 + x) = -5x + -23 (9 * 6 + x * 6) = -5x + -23 (54 + 6x) = -5x + -23 Reorder the terms: 54 + 6x = -23 + -5x Solving 54 + 6x = -23 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 54 + 6x + 5x = -23 + -5x + 5x Combine like terms: 6x + 5x = 11x 54 + 11x = -23 + -5x + 5x Combine like terms: -5x + 5x = 0 54 + 11x = -23 + 0 54 + 11x = -23 Add '-54' to each side of the equation. 54 + -54 + 11x = -23 + -54 Combine like terms: 54 + -54 = 0 0 + 11x = -23 + -54 11x = -23 + -54 Combine like terms: -23 + -54 = -77 11x = -77 Divide each side by '11'. x = -7 Simplifying x = -7
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