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Simplifying -5(2X + 4) = -4(-5 + -2X) + 2X Reorder the terms: -5(4 + 2X) = -4(-5 + -2X) + 2X (4 * -5 + 2X * -5) = -4(-5 + -2X) + 2X (-20 + -10X) = -4(-5 + -2X) + 2X -20 + -10X = (-5 * -4 + -2X * -4) + 2X -20 + -10X = (20 + 8X) + 2X Combine like terms: 8X + 2X = 10X -20 + -10X = 20 + 10X Solving -20 + -10X = 20 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. -20 + -10X + -10X = 20 + 10X + -10X Combine like terms: -10X + -10X = -20X -20 + -20X = 20 + 10X + -10X Combine like terms: 10X + -10X = 0 -20 + -20X = 20 + 0 -20 + -20X = 20 Add '20' to each side of the equation. -20 + 20 + -20X = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -20X = 20 + 20 -20X = 20 + 20 Combine like terms: 20 + 20 = 40 -20X = 40 Divide each side by '-20'. X = -2 Simplifying X = -2
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