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Simplifying 4x + 4(x + -8) = 4 + 5(3x + 5) Reorder the terms: 4x + 4(-8 + x) = 4 + 5(3x + 5) 4x + (-8 * 4 + x * 4) = 4 + 5(3x + 5) 4x + (-32 + 4x) = 4 + 5(3x + 5) Reorder the terms: -32 + 4x + 4x = 4 + 5(3x + 5) Combine like terms: 4x + 4x = 8x -32 + 8x = 4 + 5(3x + 5) Reorder the terms: -32 + 8x = 4 + 5(5 + 3x) -32 + 8x = 4 + (5 * 5 + 3x * 5) -32 + 8x = 4 + (25 + 15x) Combine like terms: 4 + 25 = 29 -32 + 8x = 29 + 15x Solving -32 + 8x = 29 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -32 + 8x + -15x = 29 + 15x + -15x Combine like terms: 8x + -15x = -7x -32 + -7x = 29 + 15x + -15x Combine like terms: 15x + -15x = 0 -32 + -7x = 29 + 0 -32 + -7x = 29 Add '32' to each side of the equation. -32 + 32 + -7x = 29 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = 29 + 32 -7x = 29 + 32 Combine like terms: 29 + 32 = 61 -7x = 61 Divide each side by '-7'. x = -8.714285714 Simplifying x = -8.714285714
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