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Simplifying 4(3x + -10) + 8(x + -20) = -20 Reorder the terms: 4(-10 + 3x) + 8(x + -20) = -20 (-10 * 4 + 3x * 4) + 8(x + -20) = -20 (-40 + 12x) + 8(x + -20) = -20 Reorder the terms: -40 + 12x + 8(-20 + x) = -20 -40 + 12x + (-20 * 8 + x * 8) = -20 -40 + 12x + (-160 + 8x) = -20 Reorder the terms: -40 + -160 + 12x + 8x = -20 Combine like terms: -40 + -160 = -200 -200 + 12x + 8x = -20 Combine like terms: 12x + 8x = 20x -200 + 20x = -20 Solving -200 + 20x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + 20x = -20 + 200 Combine like terms: -200 + 200 = 0 0 + 20x = -20 + 200 20x = -20 + 200 Combine like terms: -20 + 200 = 180 20x = 180 Divide each side by '20'. x = 9 Simplifying x = 9
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