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Simplifying 4(8x + -1) + 7(5x + 4) = 48 Reorder the terms: 4(-1 + 8x) + 7(5x + 4) = 48 (-1 * 4 + 8x * 4) + 7(5x + 4) = 48 (-4 + 32x) + 7(5x + 4) = 48 Reorder the terms: -4 + 32x + 7(4 + 5x) = 48 -4 + 32x + (4 * 7 + 5x * 7) = 48 -4 + 32x + (28 + 35x) = 48 Reorder the terms: -4 + 28 + 32x + 35x = 48 Combine like terms: -4 + 28 = 24 24 + 32x + 35x = 48 Combine like terms: 32x + 35x = 67x 24 + 67x = 48 Solving 24 + 67x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 67x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 67x = 48 + -24 67x = 48 + -24 Combine like terms: 48 + -24 = 24 67x = 24 Divide each side by '67'. x = 0.3582089552 Simplifying x = 0.3582089552
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