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Simplifying 8(4x + 5) = 5(x + -3) + -9 Reorder the terms: 8(5 + 4x) = 5(x + -3) + -9 (5 * 8 + 4x * 8) = 5(x + -3) + -9 (40 + 32x) = 5(x + -3) + -9 Reorder the terms: 40 + 32x = 5(-3 + x) + -9 40 + 32x = (-3 * 5 + x * 5) + -9 40 + 32x = (-15 + 5x) + -9 Reorder the terms: 40 + 32x = -15 + -9 + 5x Combine like terms: -15 + -9 = -24 40 + 32x = -24 + 5x Solving 40 + 32x = -24 + 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. 40 + 32x + -5x = -24 + 5x + -5x Combine like terms: 32x + -5x = 27x 40 + 27x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 27x = -24 + 0 40 + 27x = -24 Add '-40' to each side of the equation. 40 + -40 + 27x = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 27x = -24 + -40 27x = -24 + -40 Combine like terms: -24 + -40 = -64 27x = -64 Divide each side by '27'. x = -2.37037037 Simplifying x = -2.37037037
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