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Simplifying 4(3x + 20) = 2(x + -5) Reorder the terms: 4(20 + 3x) = 2(x + -5) (20 * 4 + 3x * 4) = 2(x + -5) (80 + 12x) = 2(x + -5) Reorder the terms: 80 + 12x = 2(-5 + x) 80 + 12x = (-5 * 2 + x * 2) 80 + 12x = (-10 + 2x) Solving 80 + 12x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 80 + 12x + -2x = -10 + 2x + -2x Combine like terms: 12x + -2x = 10x 80 + 10x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 80 + 10x = -10 + 0 80 + 10x = -10 Add '-80' to each side of the equation. 80 + -80 + 10x = -10 + -80 Combine like terms: 80 + -80 = 0 0 + 10x = -10 + -80 10x = -10 + -80 Combine like terms: -10 + -80 = -90 10x = -90 Divide each side by '10'. x = -9 Simplifying x = -9
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