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Simplifying 2(3x + -5) = -1(4x + 20) Reorder the terms: 2(-5 + 3x) = -1(4x + 20) (-5 * 2 + 3x * 2) = -1(4x + 20) (-10 + 6x) = -1(4x + 20) Reorder the terms: -10 + 6x = -1(20 + 4x) -10 + 6x = (20 * -1 + 4x * -1) -10 + 6x = (-20 + -4x) Solving -10 + 6x = -20 + -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. -10 + 6x + 4x = -20 + -4x + 4x Combine like terms: 6x + 4x = 10x -10 + 10x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 10x = -20 + 0 -10 + 10x = -20 Add '10' to each side of the equation. -10 + 10 + 10x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = -20 + 10 10x = -20 + 10 Combine like terms: -20 + 10 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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