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Simplifying 50x + -25(7 + -4x) = 10x + -70(4 + x) 50x + (7 * -25 + -4x * -25) = 10x + -70(4 + x) 50x + (-175 + 100x) = 10x + -70(4 + x) Reorder the terms: -175 + 50x + 100x = 10x + -70(4 + x) Combine like terms: 50x + 100x = 150x -175 + 150x = 10x + -70(4 + x) -175 + 150x = 10x + (4 * -70 + x * -70) -175 + 150x = 10x + (-280 + -70x) Reorder the terms: -175 + 150x = -280 + 10x + -70x Combine like terms: 10x + -70x = -60x -175 + 150x = -280 + -60x Solving -175 + 150x = -280 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. -175 + 150x + 60x = -280 + -60x + 60x Combine like terms: 150x + 60x = 210x -175 + 210x = -280 + -60x + 60x Combine like terms: -60x + 60x = 0 -175 + 210x = -280 + 0 -175 + 210x = -280 Add '175' to each side of the equation. -175 + 175 + 210x = -280 + 175 Combine like terms: -175 + 175 = 0 0 + 210x = -280 + 175 210x = -280 + 175 Combine like terms: -280 + 175 = -105 210x = -105 Divide each side by '210'. x = -0.5 Simplifying x = -0.5
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