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Simplifying 5(-2x + -4) + -3(4x * 5) = 47 Reorder the terms: 5(-4 + -2x) + -3(4x * 5) = 47 (-4 * 5 + -2x * 5) + -3(4x * 5) = 47 (-20 + -10x) + -3(4x * 5) = 47 Reorder the terms for easier multiplication: -20 + -10x + -3(4 * 5x) = 47 Multiply 4 * 5 -20 + -10x + -3(20x) = 47 Remove parenthesis around (20x) -20 + -10x + -3 * 20x = 47 Multiply -3 * 20 -20 + -10x + -60x = 47 Combine like terms: -10x + -60x = -70x -20 + -70x = 47 Solving -20 + -70x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -70x = 47 + 20 Combine like terms: -20 + 20 = 0 0 + -70x = 47 + 20 -70x = 47 + 20 Combine like terms: 47 + 20 = 67 -70x = 67 Divide each side by '-70'. x = -0.9571428571 Simplifying x = -0.9571428571
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