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Simplifying 4x + 5(7x + -3) = 18 + -4(16 + -3d) Reorder the terms: 4x + 5(-3 + 7x) = 18 + -4(16 + -3d) 4x + (-3 * 5 + 7x * 5) = 18 + -4(16 + -3d) 4x + (-15 + 35x) = 18 + -4(16 + -3d) Reorder the terms: -15 + 4x + 35x = 18 + -4(16 + -3d) Combine like terms: 4x + 35x = 39x -15 + 39x = 18 + -4(16 + -3d) -15 + 39x = 18 + (16 * -4 + -3d * -4) -15 + 39x = 18 + (-64 + 12d) Combine like terms: 18 + -64 = -46 -15 + 39x = -46 + 12d Solving -15 + 39x = -46 + 12d 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 = -46 + 15 + 12d Combine like terms: -15 + 15 = 0 0 + 39x = -46 + 15 + 12d 39x = -46 + 15 + 12d Combine like terms: -46 + 15 = -31 39x = -31 + 12d Divide each side by '39'. x = -0.7948717949 + 0.3076923077d Simplifying x = -0.7948717949 + 0.3076923077d
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