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Simplifying -24(10) * x + 19x = 76x + -1(9x + 2) Multiply -24 * 10 -240x + 19x = 76x + -1(9x + 2) Combine like terms: -240x + 19x = -221x -221x = 76x + -1(9x + 2) Reorder the terms: -221x = 76x + -1(2 + 9x) -221x = 76x + (2 * -1 + 9x * -1) -221x = 76x + (-2 + -9x) Reorder the terms: -221x = -2 + 76x + -9x Combine like terms: 76x + -9x = 67x -221x = -2 + 67x Solving -221x = -2 + 67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-67x' to each side of the equation. -221x + -67x = -2 + 67x + -67x Combine like terms: -221x + -67x = -288x -288x = -2 + 67x + -67x Combine like terms: 67x + -67x = 0 -288x = -2 + 0 -288x = -2 Divide each side by '-288'. x = 0.006944444444 Simplifying x = 0.006944444444
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