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Simplifying 9 + -2(5x + 4) = -3(2d + -7) + -10 Reorder the terms: 9 + -2(4 + 5x) = -3(2d + -7) + -10 9 + (4 * -2 + 5x * -2) = -3(2d + -7) + -10 9 + (-8 + -10x) = -3(2d + -7) + -10 Combine like terms: 9 + -8 = 1 1 + -10x = -3(2d + -7) + -10 Reorder the terms: 1 + -10x = -3(-7 + 2d) + -10 1 + -10x = (-7 * -3 + 2d * -3) + -10 1 + -10x = (21 + -6d) + -10 Reorder the terms: 1 + -10x = 21 + -10 + -6d Combine like terms: 21 + -10 = 11 1 + -10x = 11 + -6d Solving 1 + -10x = 11 + -6d Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10x = 11 + -1 + -6d Combine like terms: 1 + -1 = 0 0 + -10x = 11 + -1 + -6d -10x = 11 + -1 + -6d Combine like terms: 11 + -1 = 10 -10x = 10 + -6d Divide each side by '-10'. x = -1 + 0.6d Simplifying x = -1 + 0.6d
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