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Simplifying 4x + 5(7x + -3) = 9(16 + -3d) Reorder the terms: 4x + 5(-3 + 7x) = 9(16 + -3d) 4x + (-3 * 5 + 7x * 5) = 9(16 + -3d) 4x + (-15 + 35x) = 9(16 + -3d) Reorder the terms: -15 + 4x + 35x = 9(16 + -3d) Combine like terms: 4x + 35x = 39x -15 + 39x = 9(16 + -3d) -15 + 39x = (16 * 9 + -3d * 9) -15 + 39x = (144 + -27d) Solving -15 + 39x = 144 + -27d Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 39x = 144 + 15 + -27d Combine like terms: -15 + 15 = 0 0 + 39x = 144 + 15 + -27d 39x = 144 + 15 + -27d Combine like terms: 144 + 15 = 159 39x = 159 + -27d Divide each side by '39'. x = 4.076923077 + -0.6923076923d Simplifying x = 4.076923077 + -0.6923076923d
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