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Simplifying 10(-9x + -5) = 10(7x + 9) Reorder the terms: 10(-5 + -9x) = 10(7x + 9) (-5 * 10 + -9x * 10) = 10(7x + 9) (-50 + -90x) = 10(7x + 9) Reorder the terms: -50 + -90x = 10(9 + 7x) -50 + -90x = (9 * 10 + 7x * 10) -50 + -90x = (90 + 70x) Solving -50 + -90x = 90 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. -50 + -90x + -70x = 90 + 70x + -70x Combine like terms: -90x + -70x = -160x -50 + -160x = 90 + 70x + -70x Combine like terms: 70x + -70x = 0 -50 + -160x = 90 + 0 -50 + -160x = 90 Add '50' to each side of the equation. -50 + 50 + -160x = 90 + 50 Combine like terms: -50 + 50 = 0 0 + -160x = 90 + 50 -160x = 90 + 50 Combine like terms: 90 + 50 = 140 -160x = 140 Divide each side by '-160'. x = -0.875 Simplifying x = -0.875
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