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Simplifying 5(10x + -4) = 10(8x + 4) Reorder the terms: 5(-4 + 10x) = 10(8x + 4) (-4 * 5 + 10x * 5) = 10(8x + 4) (-20 + 50x) = 10(8x + 4) Reorder the terms: -20 + 50x = 10(4 + 8x) -20 + 50x = (4 * 10 + 8x * 10) -20 + 50x = (40 + 80x) Solving -20 + 50x = 40 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. -20 + 50x + -80x = 40 + 80x + -80x Combine like terms: 50x + -80x = -30x -20 + -30x = 40 + 80x + -80x Combine like terms: 80x + -80x = 0 -20 + -30x = 40 + 0 -20 + -30x = 40 Add '20' to each side of the equation. -20 + 20 + -30x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -30x = 40 + 20 -30x = 40 + 20 Combine like terms: 40 + 20 = 60 -30x = 60 Divide each side by '-30'. x = -2 Simplifying x = -2
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