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Simplifying -1(4x + 5) = -2(x + 20) Reorder the terms: -1(5 + 4x) = -2(x + 20) (5 * -1 + 4x * -1) = -2(x + 20) (-5 + -4x) = -2(x + 20) Reorder the terms: -5 + -4x = -2(20 + x) -5 + -4x = (20 * -2 + x * -2) -5 + -4x = (-40 + -2x) Solving -5 + -4x = -40 + -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. -5 + -4x + 2x = -40 + -2x + 2x Combine like terms: -4x + 2x = -2x -5 + -2x = -40 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -2x = -40 + 0 -5 + -2x = -40 Add '5' to each side of the equation. -5 + 5 + -2x = -40 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -40 + 5 -2x = -40 + 5 Combine like terms: -40 + 5 = -35 -2x = -35 Divide each side by '-2'. x = 17.5 Simplifying x = 17.5
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