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Simplifying 9(-10x + -25) = -48(-6 + -8x) Reorder the terms: 9(-25 + -10x) = -48(-6 + -8x) (-25 * 9 + -10x * 9) = -48(-6 + -8x) (-225 + -90x) = -48(-6 + -8x) -225 + -90x = (-6 * -48 + -8x * -48) -225 + -90x = (288 + 384x) Solving -225 + -90x = 288 + 384x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-384x' to each side of the equation. -225 + -90x + -384x = 288 + 384x + -384x Combine like terms: -90x + -384x = -474x -225 + -474x = 288 + 384x + -384x Combine like terms: 384x + -384x = 0 -225 + -474x = 288 + 0 -225 + -474x = 288 Add '225' to each side of the equation. -225 + 225 + -474x = 288 + 225 Combine like terms: -225 + 225 = 0 0 + -474x = 288 + 225 -474x = 288 + 225 Combine like terms: 288 + 225 = 513 -474x = 513 Divide each side by '-474'. x = -1.082278481 Simplifying x = -1.082278481
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