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Simplifying 8(8x + -3) = -10(9x + 5) Reorder the terms: 8(-3 + 8x) = -10(9x + 5) (-3 * 8 + 8x * 8) = -10(9x + 5) (-24 + 64x) = -10(9x + 5) Reorder the terms: -24 + 64x = -10(5 + 9x) -24 + 64x = (5 * -10 + 9x * -10) -24 + 64x = (-50 + -90x) Solving -24 + 64x = -50 + -90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90x' to each side of the equation. -24 + 64x + 90x = -50 + -90x + 90x Combine like terms: 64x + 90x = 154x -24 + 154x = -50 + -90x + 90x Combine like terms: -90x + 90x = 0 -24 + 154x = -50 + 0 -24 + 154x = -50 Add '24' to each side of the equation. -24 + 24 + 154x = -50 + 24 Combine like terms: -24 + 24 = 0 0 + 154x = -50 + 24 154x = -50 + 24 Combine like terms: -50 + 24 = -26 154x = -26 Divide each side by '154'. x = -0.1688311688 Simplifying x = -0.1688311688
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