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Simplifying 4(2x + -5) = 32 + -4(x + -2) Reorder the terms: 4(-5 + 2x) = 32 + -4(x + -2) (-5 * 4 + 2x * 4) = 32 + -4(x + -2) (-20 + 8x) = 32 + -4(x + -2) Reorder the terms: -20 + 8x = 32 + -4(-2 + x) -20 + 8x = 32 + (-2 * -4 + x * -4) -20 + 8x = 32 + (8 + -4x) Combine like terms: 32 + 8 = 40 -20 + 8x = 40 + -4x Solving -20 + 8x = 40 + -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. -20 + 8x + 4x = 40 + -4x + 4x Combine like terms: 8x + 4x = 12x -20 + 12x = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 12x = 40 + 0 -20 + 12x = 40 Add '20' to each side of the equation. -20 + 20 + 12x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 40 + 20 12x = 40 + 20 Combine like terms: 40 + 20 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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