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Simplifying 20(2x + -8) = 4(3x + -5) Reorder the terms: 20(-8 + 2x) = 4(3x + -5) (-8 * 20 + 2x * 20) = 4(3x + -5) (-160 + 40x) = 4(3x + -5) Reorder the terms: -160 + 40x = 4(-5 + 3x) -160 + 40x = (-5 * 4 + 3x * 4) -160 + 40x = (-20 + 12x) Solving -160 + 40x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -160 + 40x + -12x = -20 + 12x + -12x Combine like terms: 40x + -12x = 28x -160 + 28x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -160 + 28x = -20 + 0 -160 + 28x = -20 Add '160' to each side of the equation. -160 + 160 + 28x = -20 + 160 Combine like terms: -160 + 160 = 0 0 + 28x = -20 + 160 28x = -20 + 160 Combine like terms: -20 + 160 = 140 28x = 140 Divide each side by '28'. x = 5 Simplifying x = 5
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