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Simplifying 10(x + -3) = 450 + -50x Reorder the terms: 10(-3 + x) = 450 + -50x (-3 * 10 + x * 10) = 450 + -50x (-30 + 10x) = 450 + -50x Solving -30 + 10x = 450 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. -30 + 10x + 50x = 450 + -50x + 50x Combine like terms: 10x + 50x = 60x -30 + 60x = 450 + -50x + 50x Combine like terms: -50x + 50x = 0 -30 + 60x = 450 + 0 -30 + 60x = 450 Add '30' to each side of the equation. -30 + 30 + 60x = 450 + 30 Combine like terms: -30 + 30 = 0 0 + 60x = 450 + 30 60x = 450 + 30 Combine like terms: 450 + 30 = 480 60x = 480 Divide each side by '60'. x = 8 Simplifying x = 8
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