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Simplifying 4x + 4(x + -8) = 9(3x + 5) Reorder the terms: 4x + 4(-8 + x) = 9(3x + 5) 4x + (-8 * 4 + x * 4) = 9(3x + 5) 4x + (-32 + 4x) = 9(3x + 5) Reorder the terms: -32 + 4x + 4x = 9(3x + 5) Combine like terms: 4x + 4x = 8x -32 + 8x = 9(3x + 5) Reorder the terms: -32 + 8x = 9(5 + 3x) -32 + 8x = (5 * 9 + 3x * 9) -32 + 8x = (45 + 27x) Solving -32 + 8x = 45 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -32 + 8x + -27x = 45 + 27x + -27x Combine like terms: 8x + -27x = -19x -32 + -19x = 45 + 27x + -27x Combine like terms: 27x + -27x = 0 -32 + -19x = 45 + 0 -32 + -19x = 45 Add '32' to each side of the equation. -32 + 32 + -19x = 45 + 32 Combine like terms: -32 + 32 = 0 0 + -19x = 45 + 32 -19x = 45 + 32 Combine like terms: 45 + 32 = 77 -19x = 77 Divide each side by '-19'. x = -4.052631579 Simplifying x = -4.052631579
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