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Simplifying 4(3x + -8) = 4(4x + -5) Reorder the terms: 4(-8 + 3x) = 4(4x + -5) (-8 * 4 + 3x * 4) = 4(4x + -5) (-32 + 12x) = 4(4x + -5) Reorder the terms: -32 + 12x = 4(-5 + 4x) -32 + 12x = (-5 * 4 + 4x * 4) -32 + 12x = (-20 + 16x) Solving -32 + 12x = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -32 + 12x + -16x = -20 + 16x + -16x Combine like terms: 12x + -16x = -4x -32 + -4x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 -32 + -4x = -20 + 0 -32 + -4x = -20 Add '32' to each side of the equation. -32 + 32 + -4x = -20 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -20 + 32 -4x = -20 + 32 Combine like terms: -20 + 32 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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