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Simplifying 8(4x + -3) = 5(x + 2) + -9 Reorder the terms: 8(-3 + 4x) = 5(x + 2) + -9 (-3 * 8 + 4x * 8) = 5(x + 2) + -9 (-24 + 32x) = 5(x + 2) + -9 Reorder the terms: -24 + 32x = 5(2 + x) + -9 -24 + 32x = (2 * 5 + x * 5) + -9 -24 + 32x = (10 + 5x) + -9 Reorder the terms: -24 + 32x = 10 + -9 + 5x Combine like terms: 10 + -9 = 1 -24 + 32x = 1 + 5x Solving -24 + 32x = 1 + 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. -24 + 32x + -5x = 1 + 5x + -5x Combine like terms: 32x + -5x = 27x -24 + 27x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 27x = 1 + 0 -24 + 27x = 1 Add '24' to each side of the equation. -24 + 24 + 27x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 27x = 1 + 24 27x = 1 + 24 Combine like terms: 1 + 24 = 25 27x = 25 Divide each side by '27'. x = 0.9259259259 Simplifying x = 0.9259259259
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