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Simplifying 4(3x + -5) = 32 + -4(x + -3) Reorder the terms: 4(-5 + 3x) = 32 + -4(x + -3) (-5 * 4 + 3x * 4) = 32 + -4(x + -3) (-20 + 12x) = 32 + -4(x + -3) Reorder the terms: -20 + 12x = 32 + -4(-3 + x) -20 + 12x = 32 + (-3 * -4 + x * -4) -20 + 12x = 32 + (12 + -4x) Combine like terms: 32 + 12 = 44 -20 + 12x = 44 + -4x Solving -20 + 12x = 44 + -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 + 12x + 4x = 44 + -4x + 4x Combine like terms: 12x + 4x = 16x -20 + 16x = 44 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 16x = 44 + 0 -20 + 16x = 44 Add '20' to each side of the equation. -20 + 20 + 16x = 44 + 20 Combine like terms: -20 + 20 = 0 0 + 16x = 44 + 20 16x = 44 + 20 Combine like terms: 44 + 20 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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