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Simplifying 3(5x + 4) = 4(x + -8) Reorder the terms: 3(4 + 5x) = 4(x + -8) (4 * 3 + 5x * 3) = 4(x + -8) (12 + 15x) = 4(x + -8) Reorder the terms: 12 + 15x = 4(-8 + x) 12 + 15x = (-8 * 4 + x * 4) 12 + 15x = (-32 + 4x) Solving 12 + 15x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 15x + -4x = -32 + 4x + -4x Combine like terms: 15x + -4x = 11x 12 + 11x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 11x = -32 + 0 12 + 11x = -32 Add '-12' to each side of the equation. 12 + -12 + 11x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = -32 + -12 11x = -32 + -12 Combine like terms: -32 + -12 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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