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Simplifying -5(11 + -105d) + 5(-8x + -2) = -4x + -8x (11 * -5 + -105d * -5) + 5(-8x + -2) = -4x + -8x (-55 + 525d) + 5(-8x + -2) = -4x + -8x Reorder the terms: -55 + 525d + 5(-2 + -8x) = -4x + -8x -55 + 525d + (-2 * 5 + -8x * 5) = -4x + -8x -55 + 525d + (-10 + -40x) = -4x + -8x Reorder the terms: -55 + -10 + 525d + -40x = -4x + -8x Combine like terms: -55 + -10 = -65 -65 + 525d + -40x = -4x + -8x Combine like terms: -4x + -8x = -12x -65 + 525d + -40x = -12x Solving -65 + 525d + -40x = -12x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 525d + 65 + -40x = 65 + -12x Reorder the terms: -65 + 65 + 525d + -40x = 65 + -12x Combine like terms: -65 + 65 = 0 0 + 525d + -40x = 65 + -12x 525d + -40x = 65 + -12x Add '40x' to each side of the equation. 525d + -40x + 40x = 65 + -12x + 40x Combine like terms: -40x + 40x = 0 525d + 0 = 65 + -12x + 40x 525d = 65 + -12x + 40x Combine like terms: -12x + 40x = 28x 525d = 65 + 28x Divide each side by '525'. d = 0.1238095238 + 0.05333333333x Simplifying d = 0.1238095238 + 0.05333333333x
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