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