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Simplifying 5(x + 4) = -6x + 9 Reorder the terms: 5(4 + x) = -6x + 9 (4 * 5 + x * 5) = -6x + 9 (20 + 5x) = -6x + 9 Reorder the terms: 20 + 5x = 9 + -6x Solving 20 + 5x = 9 + -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. 20 + 5x + 6x = 9 + -6x + 6x Combine like terms: 5x + 6x = 11x 20 + 11x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + 11x = 9 + 0 20 + 11x = 9 Add '-20' to each side of the equation. 20 + -20 + 11x = 9 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 9 + -20 11x = 9 + -20 Combine like terms: 9 + -20 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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