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Simplifying 4(3x + -8) = 4x + -5 Reorder the terms: 4(-8 + 3x) = 4x + -5 (-8 * 4 + 3x * 4) = 4x + -5 (-32 + 12x) = 4x + -5 Reorder the terms: -32 + 12x = -5 + 4x Solving -32 + 12x = -5 + 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. -32 + 12x + -4x = -5 + 4x + -4x Combine like terms: 12x + -4x = 8x -32 + 8x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 8x = -5 + 0 -32 + 8x = -5 Add '32' to each side of the equation. -32 + 32 + 8x = -5 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = -5 + 32 8x = -5 + 32 Combine like terms: -5 + 32 = 27 8x = 27 Divide each side by '8'. x = 3.375 Simplifying x = 3.375
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