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Simplifying 7 + -4(8x + 4) = 11(5x + 9) Reorder the terms: 7 + -4(4 + 8x) = 11(5x + 9) 7 + (4 * -4 + 8x * -4) = 11(5x + 9) 7 + (-16 + -32x) = 11(5x + 9) Combine like terms: 7 + -16 = -9 -9 + -32x = 11(5x + 9) Reorder the terms: -9 + -32x = 11(9 + 5x) -9 + -32x = (9 * 11 + 5x * 11) -9 + -32x = (99 + 55x) Solving -9 + -32x = 99 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. -9 + -32x + -55x = 99 + 55x + -55x Combine like terms: -32x + -55x = -87x -9 + -87x = 99 + 55x + -55x Combine like terms: 55x + -55x = 0 -9 + -87x = 99 + 0 -9 + -87x = 99 Add '9' to each side of the equation. -9 + 9 + -87x = 99 + 9 Combine like terms: -9 + 9 = 0 0 + -87x = 99 + 9 -87x = 99 + 9 Combine like terms: 99 + 9 = 108 -87x = 108 Divide each side by '-87'. x = -1.24137931 Simplifying x = -1.24137931
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