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Simplifying 2(10x + -50) = 4(9 + -6x) Reorder the terms: 2(-50 + 10x) = 4(9 + -6x) (-50 * 2 + 10x * 2) = 4(9 + -6x) (-100 + 20x) = 4(9 + -6x) -100 + 20x = (9 * 4 + -6x * 4) -100 + 20x = (36 + -24x) Solving -100 + 20x = 36 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -100 + 20x + 24x = 36 + -24x + 24x Combine like terms: 20x + 24x = 44x -100 + 44x = 36 + -24x + 24x Combine like terms: -24x + 24x = 0 -100 + 44x = 36 + 0 -100 + 44x = 36 Add '100' to each side of the equation. -100 + 100 + 44x = 36 + 100 Combine like terms: -100 + 100 = 0 0 + 44x = 36 + 100 44x = 36 + 100 Combine like terms: 36 + 100 = 136 44x = 136 Divide each side by '44'. x = 3.090909091 Simplifying x = 3.090909091
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