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Simplifying -2(5x + 8) = 5x + -6(10x + -9) Reorder the terms: -2(8 + 5x) = 5x + -6(10x + -9) (8 * -2 + 5x * -2) = 5x + -6(10x + -9) (-16 + -10x) = 5x + -6(10x + -9) Reorder the terms: -16 + -10x = 5x + -6(-9 + 10x) -16 + -10x = 5x + (-9 * -6 + 10x * -6) -16 + -10x = 5x + (54 + -60x) Reorder the terms: -16 + -10x = 54 + 5x + -60x Combine like terms: 5x + -60x = -55x -16 + -10x = 54 + -55x Solving -16 + -10x = 54 + -55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55x' to each side of the equation. -16 + -10x + 55x = 54 + -55x + 55x Combine like terms: -10x + 55x = 45x -16 + 45x = 54 + -55x + 55x Combine like terms: -55x + 55x = 0 -16 + 45x = 54 + 0 -16 + 45x = 54 Add '16' to each side of the equation. -16 + 16 + 45x = 54 + 16 Combine like terms: -16 + 16 = 0 0 + 45x = 54 + 16 45x = 54 + 16 Combine like terms: 54 + 16 = 70 45x = 70 Divide each side by '45'. x = 1.555555556 Simplifying x = 1.555555556
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